Antiperiodic boundary conditions

Teake In this paper, we consider the following fractional differential inclusions with antiperiodic boundary conditions (1. Boundary conditions, once stated, remain in effect until explicitly changed or until the end of the path. The Weak Solution Set V = the weak form of the periodic boundary-value problem. The result includes, for instance, the initial value problem, the final value problem, and the antiperiodic boundary value problem. E. They are suitable for both incompressible and compressible flow calculations. a Antiperiodic Boundary Conditions,b Cracked Edge outer layers inner layers EL 200. The equations of motion and boundary conditions to be imposed at the tip can be found in Appendix A. By using Schaefer's 19 Nov 2013 Partition functions are obtained by means of path integrals along closed paths. For example, antiperiodic trigonometric polynomials are important in the study of interpolation problems 32, 33 , and antiperiodic wavelets are discussed in 34 . O. Henrik Wallén, Ismo V. S. cnANTI–PERIODIC BOUNDARY VALUE PROBLEM FOR NONLINEAR FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS DANIEL FRANCO,JUAN J S. 2i force local boundary conditions (BC). com/science/article/pii/B9780444871091500376J. Tre−βH in This paper discusses the antiperiodic boundary value problem for first-order differential equations with anti-periodic and nonlinear boundary conditions. In this paper, we introduce a new concept of nonlocal anti-periodic boundary conditions and solve fractional and sequential fractional differential Jun 4, 2018 Note periodic boundary condition corresponds to . African and African-American contributions to science and technology. Therefore the last anti-commutator in Eq. Ask Question 0 $\begingroup$ If I want to solve the eigenvalue problem $-y''=\lambda y$ with either periodic or antiperiodic boundary conditions on $[0,2\pi]$, how can I enter the boundary conditions? I mean, in general I would take a finite Fourier basis and solve the problem by diagonalizing a 12/8/2006 · "Pressure inlet boundary conditions are used to define the fluid pressure at flow inlets, along with all other scalar properties of the flow. 0 . Thus, at the critical point, the Ising quantum chain with the duality-twisted boundary is translationally invariant, similar as in the case of the usual periodic or antiperiodic boundary conditions. com/journals/jfs/2018/3798342In this paper, we are concerned with the existence and uniqueness of solutions for the following impulsive fractional -difference equation with antiperiodic boundary conditions where , , , , , is -derivative, , and denote the Caputo -derivative of orders and , respectively. Phys. Set Neumann Boundary Conditions to PDEModel. InSection 2 we consider the antiperiodic problem This paper concerned with the existence of solutions of anti-periodic boundary value problems for impulsive differential equations with φ -Laplacian operator. Tre−βH in Abstract. ) The property that the large of initial condition, and antiperiodic boundary conditions satisfy (15) and (16). Lyons, Jeffrey W. The dependence A class of higher-order 3-dimensional discrete systems with antiperiodic boundary conditions is investigated. , 32 …antiperiodic boundary value problems for first order ordinary differential equations were studied in [3-6]. Boundary Condition Application The user defines the periodic or anti-periodic boundary condition type as part of the boundary condition definition. Periodic and Anti-Periodic Boundary Conditions With the Lagrange Multipliers in the FEM Abstract: An approach based on the double Lagrange multipliers is developed using the finite element method in order to impose complex periodic or anti-periodic boundary conditions. The other quesiton is the PML can be defined in Structural Moudule in COMSOL 3. However, for engineering applications the implementation of adequate boundary conditions is equally important for accuracy as the formulation and discretization of the differential equations itself. problem (1:1)– (1:4) is studied in [6] when ≤ , and in [6] when ≤ . Henrotte, and K. Garcia and Jeffrey T. For the Ising model, antiperiodic boundary conditions force an interface into the system, and ∆F can be interpreted as interface free energy. The unconventional periodic boundary conditions for fermions in the path integral expression for the Witten index is the origin of the topological character of this object. Our construction is systematic and easy to follow. ABSTRACT The small volume expansion of the low-lying glueball states for SU(2) and SU(3) gauge theory coupled to massless fermions with periodic and antiperiodic boundary conditions is determined. Abstract. Functions of Differential Operators with Regular Boundary Conditions O. In this paper we shall consider three types of periodic and antiperiodic boundary conditions, namelyINSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS A: MATHEMATI CAL AND GENERAL J. I want to make smaller my region of problem, I use antiperiodic boundary condition as you say in your manual to simulate one pole of motor, my motor has six poles. Based on the existence of the positive solution of linear homogeneous system, several new Lyapunov-type inequalities are established. Portland, Ore. By means of the Banach fixed point theorem Anti-periodic boundary conditions appear in a variety of situations of applied problems. only periodic boundary conditions are supported. conditions are used instead of periodic boundary conditions [12]. $\endgroup$ – ACuriousMind ♦ Aug 21 '16 at 0:46 and antiperiodic traction boundary conditions are often preferable with respect to the size of the unit cell problem, which can then be chosen to be smaller. with antiperiodic constrained energy minimizers in a class of defocusing NLS equations having fractional dispersion. In conclusion, a non-trivial example is provided. In magnetic problems, the homogeneous Neumann boundary condition, ∂A/∂n =0 is defined along a boundary to force flux to pass the boundary at exactly a 90o angle to the boundary. However, sometimes one adds additional boundary-only terms as part of the general notion of open boundary conditions. , , is the set of all real numbers, and . The antiperiodic nature of the problem the only di erence is the boundary conditions. InSection 2 we consider the antiperiodic problemFrom antiperiodic boundary conditions, the interest shifted to the study of antiperiodic oscillations. DirichletCondition, NeumannValue and PeriodicBoundaryCondition all require a second argument that is a predicate describing the location on the boundary where the conditions/values are to be applied. By Existence of Solutions for Fractional Differential Inclusions with Antiperiodic Boundary Conditions Setting Boundary Conditions in 3D The specification of boundary conditions in 3D problems is an extension of the techniques used in 2D. Article (PDF Available) To impose these boundary conditions, the classical method (CM) requires a FlexPDE supports periodic and antiperiodic boundary conditions in one, two or three dimensions. 5 . In [ 19 ], the authors considered the problem ( 1. with Antiperiodic Boundary Conditions. By using Schaefer's fixed-point theorem, some existence results are obtained. Periodic and Anti-Periodic Boundary Conditions With the Lagrange Multipliers in the FEM Abstract: An approach based on the double Lagrange multipliers is developed using the finite element method in order to impose complex periodic or anti-periodic boundary conditions. Anti-Periodic Boundary Conditions in Supersymmetric DLCQ Item Preview remove-circle The central charge in supersymmetric theories is in general a boundary integral and therefore vanishes when one uses periodic boundary conditions. 25 l/TT 0. Keywords: fixed point theorem, antiperiodic, antisymmetric, functional. PINSKY,U. Now I have a doubt with boundary conditions. Existence and Uniqueness Results for a Coupled System of Nonlinear Fractional Differential Equations with Antiperiodic Boundary Conditions Zhang, Huina and Gao, Wenjie, Abstract and Applied Analysis, 2014 the references therein. e. The eigenvalues of the problem (1. In NDSolve [eqns, {u 1, u 2, …}, {x 1, x 2, …} ∈ Ω], x i are the independent variables, u j are the dependent variables, and Ω is the region with boundary ∂ Ω. Much Appreciated The boundary condition u50 is called periodic boundary conditions ~PBC!, u5p antiperiodic boundary conditions ~ABC!, and the general condition with uÞ0, twisted bound-ary conditions ~TBC!@1#. opposite value) at two opposite points on the boundary (one of them being the image of the other by translation of a periodicity vector). These are precisely the boundary conditions that imply that the solution system using periodic boundary conditions and then finding the energy levels again using antiperiodic boundary conditions. In the case of fermions, anti-periodic boundary conditions give 19 Jul 2010 Abstract: An approach based on the double Lagrange multipliers is developed using the finite element method in order to impose complex Usually it just means deleting the degrees of freedom outside some region and removing all the terms in the Hamiltonian that coupled to them. or they may obey various other boundary conditions. and are widely studied by many authors conditions. The antiperiodic statement affects only the next following LINE or ARC Casimir Effect for a Massive Scalar Field Under Mixed Boundary Conditions odic and antiperiodic BC. In the context of DMRG to the best of my knowledge this phrase means you solve the 1d model on some finite line segment. We investigate existence and uniqueness of solutions for nonlinear Langevin equation involving two fractional orders with anti-periodic boundary conditions. 0 -109 N/m2 20. 2) are in general complex numbers and are not necessarily simple, as in the case of separated boundary conditions, and this is a major difficulty. In this paper we shall consider three types of periodic and antiperiodic boundary conditions, namely We prove the existence results for second-order impulsive differential equations on time scales with antiperiodic boundary value conditions in the presence of classical fixed point theorems. However, the concept of parametric (nonlocal) anti-periodic boundary conditions has not been addressed yet. This means that in either case, the difference in the ground state fermion parities between the chains with periodic and antiperiodic boundary conditions is equal to Q! Zhang, Y Shi, Eigenvalues of second-order symmetric equations on time scales with periodic and antiperiodic boundary conditions, Appl. O(a2) effects from the time boundaries are found to be absent at this order, both with SF and SF-open boundary conditions. antiperiodic trigonometric polynomials in the study of interpolation problems, antiperiodic wavelets, antiperiodic boundary conditions in physics, and so forth for details, see 21 and the references therein . Existence of solutions for nonlinear fractional differential equations with impulses and anti-periodic boundary conditions Lihong Zhang, Guotao Wang School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, People’s Republic of China E-mail: zhanglih149@126. Firstly, the definition a pair of coupled lower and upper solutions of the problem is introduced. Existence and Uniqueness Results for a Coupled System of Nonlinear Fractional Differential Equations with Antiperiodic Boundary Conditions: Global Existence, Uniqueness, and Asymptotic Behavior of Solution for -Laplacian Type Wave Equation of Solutions for a Fractional Order Antiperiodic Boundary Value Problem with a -Laplacian Operator One aspect which is of particular relevance for interpreting numerical work is the fact that the commonly used peri- odic or antiperiodic boundary conditions might prefer different pairs of pure states. p-forms gauge fields equations of motion Bianchi identity A p-form and D-p-2 form are dual Algebraic equation of motion. For this matter, we try to modify some work space such that the variational principle can be established. Abstract. Some recent work on antiperiodic boundary value problems of fractional-order can be found in 21–27 and references therein. ) It is known that the operator H is Birkhoff regular but not strongly regular ( see M. Neugebauer More by Aldo E. The operators had been introduced in [1, 2, 3]. sciencedirect. We show that in all these cases but the periodic one with an even number of sites $\mathsf{N}$, the transfer matrix of the model is related, by the vertex-IRF transformation, to the transfer matrix of the dynamical 6-vertex model with antiperiodic boundary conditions, which we have recently solved by means of Sklyanin's Separation of Variables the periodic boundary conditions in 4. Printed in Great Britian LETTER TO THE EDITOR Finite-size scaling in strips: Antiperiodic boundary conditions John L Cardy Department of Physics, University of California, Santa Barbara, California 93106, USA Received 3 October 1984 Abstract. Differential inclusions arise in the mathematical modelling of certain problems in economics, optimal control, and so forth. On the Solvability of Second-Order Impulsive Differential Equations with On the Solvability of Second-Order Impulsive Differential Equations with Antiperiodic Boundary Value Conditionsbut it is still not quite right, because for my problem I should implement anti-periodic boundary conditions for rho[x,t], and periodic boundary conditions for the current D[rho[x,t],x]. JournalofFunctionSpaces = +∈ = ∗ , =1,2,,˚, (0)− ( ), ((0)− ( ),where istheCaputofractional derivative, ∈ (× R,R), , ∗ ∈ (R,R Existence of Solutions for Fractional Differential Inclusions with Antiperiodic Boundary Conditions. boundary conditions, and [1,4,9,31] and related references therein for boundary value problems with anti-periodic boundary conditions). In various fields, such as physics, engineering, and chemistry, many models come down to antiperiodic boundary value problems, so there have been many papers focused on the subject of fractional differential equations with impulsive antiperiodic boundary value conditions; one can refer to [11–14]. Thermal boundary conditions include the set of all 2d choices of periodic or antiperiodic boundary conditions in dspatial dimensions. springeropen. Electromagnetic Theory Questions and Answers – Boundary Conditions Posted on May 14, 2017 by staff10 This set of Electromagnetic Theory Multiple Choice Questions & Answers (MCQs) focuses on “Boundary Conditions”. com, wgt2512@163. 68 (2015), 501–518 c 2015 Springer Basel 1422-6383/15/030501-18 published online March 28, 2015 DOI 10. antiperiodic boundary conditionsPeriodic boundary conditions (PBCs) are a set of boundary conditions which are often chosen for approximating a large (infinite) system by using a small part anti-periodic boundary condition ψ(¯hβ) = −ψ(0) instead of the periodic boundary condition. Bull. (For brevity, we discuss only the periodic problem. In finite strains, the boundary The complexity is a non-trivial function of the size of the circle with antiperiodic boundary conditions, which sets an IR scale in the dual geometry. Sequential fractional differential equations and unification of anti-periodic and multi-point boundary conditions Ahmed Alsaedi, Bashir Ahmad, Mohammed H. 10 Feb 2019 In this paper, we introduce a new concept of nonlocal anti-periodic boundary conditions and solve fractional and sequential fractional PDF | An approach based on the double Lagrange multipliers is developed using the finite element method in order to impose complex periodic or anti-periodic Full Text Available We consider a second-order ordinary differential equation with antiperiodic boundary conditions and impulses. Cited by: 12Publish Year: 1988Author: John L CardyAntiperiodic Boundary Value Problems for Second-Order https://boundaryvalueproblems. Bunchaft, F. Hikmet Gunes, Nazim B. showed some existence results for sequential q-fractional integrodifferential equations with q-antiperiodic boundary conditions and nonlocal four-point boundary conditions, respectively. From antiperiodic boundary conditions, the interest shifted to the study of antiperiodic oscillations. Let's look at them. 25 Table 1: Material Properties of the Plies, The computations were performed for different material We consider fermions in the Fundamental (F), Adjoint (Adj), Antisymmetric (AS), and Symmetric (S) representations, for N from 3 to 9, with periodic and antiperiodic boundary conditions applied. In consequence, we do not dispose of a maximum principle for anti-periodic boundary conditions and the abstract results of [5] are not applicable. The antiperiodic boundary statement terminates any boundary conditions in effect, and instead imposes equality of all variables on the two boundaries. This can be shown by carefully working out the trace. xand periodic/antiperiodic boundary conditions for bosonic/fermionic elds. The classical as well as fractional antiperiodic boundary conditions have been considered by several authors ([13]-[18]). WePeriodic and antiperiodic eigenvalues for half-linear version of Hill’s equation Gabriella Bogn´ar the antiperiodic boundary conditions: x(0) = 0x(T); x0(0) = x(T) periodic and antiperiodic eigenvalues are studied by M. GarciaExistence of solutions for anti-periodic boundary value problems involving fractional differential equations via Leray-Schauder degree theory for anti-periodic boundary value problems involving fractional differential equations via Leray-Schauder degree theory. : Fractional boundary value problems with integral and anti-periodic boundary conditions. (1) always takes the form fQ+ ;Q − g =0: (2) Without a central charge extension the BPS states of a theory will simply be massless states. TRITTMANN, Antiperiodic boundary conditions in These are Dirichlet boundary conditions in the quantum-mechanical case, and periodic (antiperiodic) in the quantum statistical case. conditions. nobody has been considering such boundary conditions), or is it just that it's so obvious, that it's not worth replying to :-)? Thank you for any ideas. Let P and A be the operators generated in L2[0,1] by the periodic Order parameter distribution of the random bond Ising ferromagnet with antiperiodic boundary conditions By applying some standard fixed point theorems, Agarwal et al. Antiperiodicity was investigated for the heat equation 6, Existence of solutions for nonlinear fractional differential equations with impulses and anti-periodic boundary conditions Lihong Zhang, Guotao Wang School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, People’s Republic of China E-mail: zhanglih149@126. $$ There are variants of the periodic conditions, such as antiperiodic, etc, but The boundary conditions of this problem are periodic-antiperiodic boundary conditions and it is well known that they are regular but not strongly regular. We confirm that O(a2) Symanzik improve-ment is achieved at tree-level, provided the action, observable and the flow are O(a2) improved. Using the BCSetting Boundary Conditions in 3D The specification of boundary conditions in 3D problems is an extension of the techniques used in 2D. InSection 2 we consider the antiperiodic problem u t Au t f t, u t ,t∈ R, u t −u t T ,t∈ R, E1. Some existence and uniqueness results are obtained by applying This paper discusses the antiperiodic boundary value problem for first-order impulsive ordinary differential equations. In this work, an application is made of a recent extension of the Leggett-Williams fixed point theorem, commonly referred to as an Avery type fixed point theorem, to a second order boundary value problem with antiperiodic boundary conditions. “impedance boundary conditions” that allow a bounded Antiperiodic •The antiperiodic boundary condition also joins together two boundaries. Periodicity in the X-Y Plane. Key Words: Fractional q-di erence inclusion, q-antiperiodic condi-tions, convex or compact valued multifunction, xed point. Antiperiodic boundary value problems have recently received considerable attention as antiperiodic boundary conditions appear in numerous situations, for instance, see 15–22 . Zhang [19]. Aguiar Pinto, T. School of Mathematical S ciences, Quf u Normal University, Qufu 273165, Sha ndong, China. In this paper we present the new set of the constants, but may depend on the boundary conditions From antiperiodic boundary conditions, the interest shifted to the study of antiperiodic oscillations. Antiperiodicity was investigated for the heat equation 6 , for second-order Duffing-like 7 and pendulum-like 8 oscillators, and several other systems 9 , 10 . If the number of rotor poles were even periodic (symmetric) boundary conditions would have been used instead. In small strains, the boundary conditions are : periodic and antiperiodic. , 80-952 Odafisk, Poland periodic boundary conditions, that is, we discuss the case n =2, m =1. This paper is concerned with a class of anti-periodic boundary value problems for fractional differential equations with the Riesz–Caputo derivative, which can reflected both the past and the future nonlocal memory effects. (10) and (11)). Mingyue Zuo and Xinan Hao. The exact values of the universal amplitude A relating the correlation length ξ˜L/A to the strip width L at the critical point of Ising and 3-state Potts models are obtained for the case of antiperiodic, or twisted, boundary conditions. restrictions in the form of (periodic, antiperiodic, Dirich-let and Neumann) boundary conditions which are imple-mented in the bare propagator. Unfortunately one is restricted to non-periodic materials in many cases, HVDC Insulation Boundary Conditions for Modeling and - IEEE Xplore Jan 16, 2013 - for the electric field distributions in high-voltage direct-current (HVDC) insulation. hindawi. explains the need to anti-periodic boundary conditions in appendix A. com Abstract In thermal boundary conditions, all eight combinations of periodic vs antiperiodic boundary conditions in the three spatial directions appear in the ensemble with their respective Boltzmann weights, thus minimizing finite-size effects due to domain walls. "antiperiodic") when it takes the same value (resp. 2 Advances in Difference Equations differential equations with antiperiodic boundary value conditions on time scales. restrictions in the form of (periodic, antiperiodic, Dirich-let and Neumann) boundary conditions which are imple-mented in the bare propagator. Additionally, the PeriodicBoundaryCondition has a third argument specifying the relation between the two parts of the boundary. A: Math. antiperiodic boundary conditions A: Math. • The scalar product (∇u, ∇v) We show that in all these cases but the periodic one with an even number of sites $\mathsf{N}$, the transfer matrix of the model is related, by the vertex-IRF transformation, to the transfer matrix of the dynamical 6-vertex model with antiperiodic boundary conditions, which we have recently solved by means of Sklyanin's Separation of Variables nonlocal conditions and state-dependent delay. Xu, F. Dirichlet, Neumann, periodic, antiperiodic, and other boundary conditions. Motivated by the previous literature, this paper is concerned with the existence and uniqueness ofWe present a novel formulation of SDLCQ where the fields satisfy anti-periodic boundary conditions. com/view/0dc07603bed5b9f3f90f1cd8. We present pure and mixed combinations of Neu-mann, Dirichlet, periodic, and antiperiodic BC. Contents θ-BC: twisted boundary conditions TChPT: twisted chiral perturbation theory non-periodic or twisted spatial boundary conditions: allow continuously variable offset in the comb of allowed three-momenta Tsukuba LQCD&PP 15 Dec 2004 4/17. In this work we consider thermal boundary conditions (TBC). NOBC(VARIABLE) can be used to turn off a previously specified boundary condition on the current path. 109 N/m2 GLT 5. the periodic boundary conditions in 4. Antiperiodicity was investigated for the heat equation 6 , for second-order Duffing-like 7 . What you outline can be done with a Model Coupling, found under Definitions. Find the five smallest relational antiperiodic eigenvalues and eigenfunctions of a Sturm – Liouville operator. 2) and (1. 5/4/2009 · In this paper, we consider the following fractional differential inclusions with antiperiodic boundary conditions (1. It is hoped that this family of self-adjoint boundary conditions can be used to construct solutions in problems where one set of boundary conditions (for example, periodic or Dirichlet) leads to a significant simplification of the problem. We provide numerical experiments that validate our theoretical ndings. Avoiding these crossovers, the three regions of finite size scaling present for each of these boundary conditions are shown to be indistinguishable in the results of the exponents in periodic and antiperiodic conditions, which coincide with those from the (bulk) infinite system. (PBCs), antiperiodic (APBCs), free (FBCs) and block (BBCs) boundary conditions, and thus gauge the importance of the role played by the BCs. We shall remark that the boundary condition (1. Notice that antiperiodic boundary conditions appearSpectral Properties and Oscillation Theorems for Mixed Boundary-Value Problems of Sturm-Liouville Type value problems. 5/7/2015 · However, sometimes one adds additional boundary-only terms as part of the general notion of open boundary conditions. To this end, we introduce a new conceptOn the Solvability of Second-Order Impulsive Differential Equations with Antiperiodic Boundary Value Conditions. Conference Publications , 2015, 2015 (special) : 775-782. PeriodicBoundaryCondition is used together with differential equations to describe boundary conditions in functions such as NDSolve. We consider a second-order ordinary differential equation with antiperiodic boundary conditions and impulses. In these two cases the operator may be chosen as or , respectively, where is a time-independent oscillator frequency. Figure 2: SimplySupported Boundary Conditions. . Existence and Uniqueness of Positive Solutions of Boundary-Value Problems for Fractional Differential Equations with -Laplacian Operator and Identities on the Some Special Polynomials: Existence and Uniqueness Results for a Coupled System of Nonlinear Fractional Differential Equations with Antiperiodic Boundary Conditions However, sometimes one adds additional boundary-only terms as part of the general notion of open boundary conditions. Uniqueness of positive solutions of a class of ODE with nonlinear boundary conditions Author(s): Ma Ruyun | An Yulian Equations with Antiperiodic Boundary Value On Existence of Solution for Higher-order Fractional Differential Inclusions with Anti-periodic Type Boundary Conditions Mohammed M. Liouville problems as well as periodic and antiperiodic boundary conditions. 14) includes the periodic and antiperiodic boundary conditions (1. The U(1) Calogero Sutherland Model with anti-periodic boundary condition is studied. baidu. For pedagogical purposes, we also compute the finite-size scaling of the magnetization fluctuations. 25 0. We study a class of anti-periodic boundary value problems of fractional differential equations. We give exact results for the energy spectrum of a chain of N king spins in a transverse field with periodic, free, and antiperiodic boundary conditions. In order to connect to the standard convolution, we give an integral representation of the abstract convolution operator. Study a Sturm – Liouville System with Antiperiodic Boundary Conditions. coupling with SF and SF-open boundary conditions. conditions on the fields in the x− direction, leading to a discrete set of allowed longitudinal momenta. This is done graphically. Study a Sturm – Liouville System with Antiperiodic Boundary Conditions. 1) in the case when f …Numerically solve ODE with boundary conditions. 2). 2010 Mathematics Subject Classi cation: Primary 34A08; Secondary 39A13, 34A60. and Neugebauer, Jeffrey T. Periodic Boundary Conditions on Ansys Workbench there was no ressource to show how to model Periodic boundary conditions on Patran, I found cyclic repetitivity but nothing more), I'm turning to Ansys to do my modeling. Author: Mingyue Zuo, Xinan HaoPublish Year: 2018Periodic Boundaries - Flexpdewww. Let us introduce some preliminary results andAntiperiodic Boundary Value Problems for Finite Dimensional Differential Systems Antiperiodic Boundary Value Problems for Finite Dimensional Differential Systems. Pressure inlet boundary conditions can be used when the inlet pressure is known but the flow rate and/or velocity is not known. Contents θ-BC: twisted boundary conditions TChPT: twisted chiral perturbation theory On the Solvability of Second-Order Impulsive Differential Equations with Antiperiodic Boundary Value Conditions Antiperiodic Boundary Value Problems for Finite Dimensional Differential Systems Boundary Value Problems , Jun 2009 Hello, As you know I'm simulating induction motor with femm, thanks for your answers. By using Schaefer's fixed-point theorem, some existence results are obtained. Cited by: 91Publish Year: 2005Author: Yi Wang, Yuming ShiExistence Results for Impulsive Fractional -Difference https://www. More details will be discussed in the next section. rem, to a second order boundary value problem with antiperiodic boundary conditions. Key to our analysis is the development of ground state and oscillation theories for linear periodic Schrodinger operators with antiperiodic boundary conditions. Motivated by the previous literature, this paper is concerned with the existence and uniqueness of Stringy boundary conditions and D-branes. the function is an antiperiodic nonlinear boundary conditions 155 The purpose of this paper is to present new existence results for equation (1) with the nonlinear boundary condition (2) that includes, among others, the case of the initial value condition (3), the periodic condition (4) and the antiperiodic boundary condition (5). This paper is concerned with the anti-periodic boundary value problem for nonlinear fractional differential equation. Numerically solve ODE with boundary conditions. Cited by: 1Publish Year: 2008Author: Chuanzhi BaiAnti-Periodic Boundary Conditions in Supersymmetric DLCQ_百度 …https://wenku. Differentiation of solutions of dynamic equations on time scales with respect to parameters. da Rosa odic and antiperiodic BC. From antiperiodic boundary conditions, the interest shifted to the study of antiperiodic oscillations. The value k = 0 is always present in the chain with periodic boundary conditions, while k = π is in the first set if N is even and in the second set if N is odd. conditions such as periodic, antiperiodic, Neumann, and Dirichlet. D (3), 62 (2000), 87701, 4 pp. Periodicity in a two-dimensional problem, or in the extrusion walls of a three-dimensional problem, is invoked by the PERIODIC or ANTIPERIODIC statement. The Hamiltonian is written as the anti-commutator of two charges, as in SDLCQ. Firstly, we use Schauder’s fixed point theorem to study the existence results of the following boundaryThe question asks how a field can be multi-valued on the string as in those boundary conditions (since $\sigma$ and $\sigma+2\pi$ are really the same point in the string), while you simply wrote down again which boundary conditions they fulfill. The result includes, for instance, the initial value problem, the final value problem, and the antiperiodic boundary value problem. In order to use the variational methods, one of the main di culties is the variational principle. boundary conditions (BC). College of Sciences, Hezhou University, Hezhou, Guangxi, China. Hameyer, "An Efficient Field-Circuit Coupling Based on a Temporary Linearization of FE Electrical Machine Models", IEEE Transactions on Magnetics, 45(3):1258-1261, Mar 2009. Specifically, [7] considers the positive solution of a fractional boundary value problem consisting of one integral and two zero initial conditions. 2) and (1. 1155/We consider a second-order ordinary differential equation with antiperiodic boundary conditions and impulses. Lange, F. Fractional Differential Equations with Antiperiodic Boundary Conditions Ordinary Differential Equations with Nonlinear Boundary Conditions of Antiperiodic Type T. 1 where A is an n × n matrix, f : R × R n → R n is continuous, and ft T, x−ft, x for all t, x ∈ R×R n . Dimensional reduction • Periodic and antiperiodic boundary conditions With a We see. PROFESSIONAL STATUS AND INSTITUTE ADDRESS Senior Researcher Center for Applied Mathematics and Theoretical Physics, University of Maribor, Krekova 2, SI-2000, Slovenia. A quantity is said to be "periodic" (resp. 1)–(1. Also, antiperiodic boundary conditions for partial differential equations and abstract dif- ferential equations are considered in [7-9]. In [30], by applyingAntiperiodic boundary conditions in supersymmetric discrete light cone quantization: Authors: charge in supersymmetric theories is in general a boundary integral and therefore vanishes when one uses periodic boundary conditions. This situation may arise in many practical situations, including buoyancy-driven flows. The proof is based on Mo¨nch’s fixed point theorem. Differential Eigensystems. One is therefore prevented from studying BPS states in the standard supersymmetric formulation of DLCQ (SDLCQ ary conditions are sometimes also employed [39] as are antiperiodic boundary conditions in one direction for the purpose of measuring spin sti ness. In finite strains, the boundary some existence results for sequential q-fractional integrodifferential equations with q-antiperiodic boundary conditions and nonlocal four-point boundary conditions, respectively. Twisted BC in QCDIn small strains, the boundary conditions are : periodic and antiperiodic. TRITTMANN, Antiperiodic boundary conditions in supersymmetric discrete light cone Anti-periodic boundary value problem for nonlinear first order ordinary differential equations Author: Daniel Franco, Juan J Tagging @dschwen @permcody @jwpeterson @roystgnr We need a way to enforce an antiperiodic traction relationship at opposing boundaries of a regular conform Skip to content Why GitHub?An application of an avery type fixed point theorem to a second order antiperiodic boundary value problem. Cited by: 71Publish Year: 2009Author: Bashir Ahmad, Victoria Otero-EspinarFinite-Size Scaling in Strips: Antiperiodic Boundary https://www. Here, we extend the construction to inhomogeneous BC. 35 (2002) 5189–5206 PII: S0305-4470(02)34224-0 Exact partition functions o We present a novel formulation of SDLCQ where the fields satisfy anti-periodic boundary conditions. Taking into account the regularized boundary conditions and for , as well as the conditions and for , gives for the eigenvalue of the Dirichlet would-be zero mode and for periodic (antiperiodic) boundary conditions: These equations enable us to remove from the regularized determinants and . In periodic boundary conditions, the Hamiltonian is in-variant with respect to translating any particle around the periodic boundaries. This modification of the periodic boundary conditions is …Moreover, antiperiodic boundary conditions appear in physics in a variety of situations, see 35–40. Then using these asymptotic formulas, we obtain necessary and sufficient conditions on the coefficient for which the root functions of these operators form a Riesz basis. Antiperiodic boundary conditions: They serve as a tool to inhibit unwanted longrange correlations or to study interfaces. Email address:We prove the existence results for second-order impulsive differential equations on time scales with antiperiodic boundary value conditions in the presence of classical fixed point theorems. Asymptotic formulae for eigenvalues and eigenfunctions of the considered boundary value problem are established. 3) when d = 1. Under certain conditions and with the use of concavity, an antisymmetric solution to the boundary value problem is shown to exist. Matar 1* and Fayez A. For the spectral theory of periodic second-order differential equations, we refer the reader to [12,17]. For generic boundary conditions, it wasMay 4, 2011 - Mixed-Impedance Boundary Conditions. Narutowicz Str. impose either periodic boundary condition or anti periodic boundary condition for fermions. the periodic boundary conditions: x(0) = x(T); x0(0) = x0(T);or to the antiperiodic boundary conditions: x(0) = 0x(T); x0(0) = x(T) are considered. anti-periodic boundary condition ψ(¯hβ) = −ψ(0) instead of the periodic boundary condition. The Hamiltonian is reduced to a convenient form by similarity NSUWorks Citation. In this paper, we present a novel idea of unification of anti-periodic and multi-point boundary conditions and develop the existence theory for sequential fractional differential equations supplemented with these new conditions. Twisted Boundary Conditions Jonathan Flynn Tsukuba LQCD&PP 15 Dec 2004 1/17. Moreover, antiperiodic boundary conditions appear in physics in a variety of situations, see 35–40 . We also compare (graphically) the mass dependence of the Casimir erature obtained with other boundary conditions, namely, Dirichlet (D Solutions of boundary value problems at resonance with periodic and antiperiodic boundary conditions Aldo E. htmlAnti-Periodic Boundary Conditions in Supersymmetric DLCQ_专业资料。 It is of considerable importance to have a numerical method for solving supersymmetric theories that can support a …Influence of the type of boundary conditions on the numerical properties tion of boundary conditions and solver significantly influen ces the computational cost in terms of memory and cpu and antiperiodic traction boundary conditions are often preferable with respect to …Periodic and Anti-Periodic Boundary Conditions With the Lagrange Multipliers in the FEM. Xiufeng Guo *, Yuan Gu. It is on this setup that our investigations aim at unveiling detectable e ects of the gravitational driving parametrized by the strain eld b(t;z). with results obtained for a well defined edge disturbance. We establish several existence results by Index Terms—Finite element method, Lagrange multipliers approach, periodic or anti-periodic boundary conditions, potential formulation. 109 N/m2 VLT 0. In each case the energy levels were ordered so that the energy increased steadily through the sequence, and the energy shift AE,, of the The antiperiodic boundary statement terminates any boundary conditions in effect, and instead imposes equality of all variables on the two boundaries. Sri Lanka plant names in Sinhala, tamil, sinhala, botany, ethnobotany, etymology, computer science sinhala glossary links to place names, old and new maps, philological, historical and sociological notes, links to news and events Sri Lanka plant names in Sinhala, tamil, botany, ethnobotany, etymology, computer science sinhala glossary links to place names, old and new maps, philological, historical and sociological notes, links to news and events antiperiodic boundary condition (with spatial “period” a) may also be written as a sum of two terms corresponding, each one, to a periodic boundary condition, but with spatial periods 2a and a, respectively (see Eqs. Antiperiodicity was investigated for the heat equation 6, for second-order Duffing-like 7 and pendulum-like 8 oscillators, and several other systems 9,10. In this paper we present the new set of the universal amplitude ratios for the mixed boundary universality class. The calculation is elementary in this case and one can easily observe that the Border conditions •Neumann: This boundary condition specifies the normal derivative of potential along the boundary. Flux enters and leaves the rotor in the same way as when the entire machine is modeled. This sort of boundary condition obtained the existence of solutions for Caputo fractional q-difference inclusions with q-antiperiodic boundary conditions by using a fixed point theorem for upper semi-continuous compact map. The main novelty of the method lies in that it unifies different techniques for initial or boundary conditions. 17 (1984) L961-L964. Lindell, Life Fellow, IEEE, and Ari Sihvola, Fellow, IEEE. with Antiperiodic Boundary Conditions MingyueZuo andXinanHao SchoolofMathematicalSciences,QufuNormalUniversity,Qufu, Shand,China rem, to a second order boundary value problem with antiperiodic boundary conditions. 0 is used for pure periodic or antiperiodic conditions. antiperiodic boundary conditions, the Wolff update had to be adapted to the latter case: this was achieved by exploiting the fact that antiperiodic bc are equivalent to the insertion of a seam of anti-ferromagnetic bonds along the boundary in the case of nearest-neighbor interactions. The complete energy spectrum of the Ising quantum chain is calculated analytically for finite systems, and the conformal properties of the scaling The extension of the PPP Hamiltonian for alternant cyclic polyenes to noninteger values of the pseudomomentum by imposing modified boundary conditions is discussed in detail. to solve the eigenvalue problem $-y''=\lambda y$ with either periodic or antiperiodic boundary conditions on $[0,2 Research Article Lyapunov-Type Inequality for a Class of Discrete Systems with Antiperiodic Boundary Conditions Xin-GeLiuandMei-LanTang Existence Theory for -Antiperiodic Boundary Value Problems of Sequential -Fractional Integrodifferential Equations the following conditions are assumed. PINSKY, U. I'm sorry for bumping this, but I would at least like to know, if it is too difficult to answer (i. Abstract Explicit expressions are derived for the free energy, the specific heat, and the magnetic susceptibility of a spherical model of spins on a d-dimensional hypercubical lattice, of size L 1 ×L 2 ××L d, under antiperiodic boundary conditions. Abstractâ A novel set HVDC Insulation Boundary Conditions for Modeling and - IEEE Xplore . The main result of the paper is order fractional boundary value problems consisting of four anti-periodic boundary conditions are studied. and . edu. Open boundary condition. 2) where denotes the Caputo fractional derivative of order , Bohnenblust-Karlin fixed point theorem is applied to prove the existence of solutions of (1. nonlinear boundary conditions 155 The purpose of this paper is to present new existence results for equation (1) with the nonlinear boundary condition (2) that includes, among others, the case of the initial value condition (3), the periodic condition (4) and the antiperiodic boundary condition (5). It is . com/articles/10. $\endgroup$ – ACuriousMind ♦ Aug 21 '16 at 0:46Casimir Effect for a Massive Scalar Field Under Mixed Boundary Conditions A. Malays. Aqlan Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. do not in general have the same periodicity. Works Cited. 5a, But it also can not works in COMSOL 4. 3) when d = 1. In African-American Baseline Essays. Existence of Solutions for Fractional Differential Inclusions with Antiperiodic Boundary Conditions. 0 -109 N/m2 ET 5. Antiperiodic boundary conditions: They serve as a tool to inhibit unwanted longrange correlations or to study interfaces. The antiperiodic SDLCQ we consider breaks supersymmetry at finite resolution, but requires no renormalization and becomes supersymmetric in the continuum limit. For generic boundary conditions, it was In this paper, we are concerned with the existence and uniqueness of solutions for the following impulsive fractional -difference equation with antiperiodic boundary conditions where , , , , , is -derivative, , and denote the Caputo -derivative of orders and , respectively. Naimark, Linear Differential Operators. Pascoal, and F. Lua, Boundary Conditions and ect. Learn more about laplace, neumann boundary, dirichlet boundary, pdemodel, applyboundarycondition . $\endgroup$ – user21 Mar 9 '16 Ordinary Differential Equations with Nonlinear Boundary Conditions of Antiperiodic Type T. To this end, we introduce a new concept Lower and Upper Solutions, Coupled System, Coupled Boundary Conditions, Arzela-Ascoli Theorem, Schauder's Fixed Point Theorem To cite this article Naseer Ahmad Asif, Imran Talib, Existence of Solutions to a Second Order Coupled System with Nonlinear Coupled Boundary Conditions, American Journal of Applied Mathematics . Title: Antiperiodic dynamical 6-vertex and periodic 8-vertex models I: Complete spectrum by SOV and matrix elements of the identity on separate states. Boundary Value Problems, Jun 2009 YQ Fractional differential inclusions with anti-periodic boundary conditions 3 Also, due to the requirement h 2AC(J, E), a problem arises when we study the problem (1. The central charge in supersymmetric theories is in general a boundary …3 supplemented with q-antiperiodic boundary conditions for convex and non-convex multivalued maps. If I want to solve the eigenvalue problem $-y''=\lambda y$ with either periodic or antiperiodic boundary conditions on $[0,2\pi]$, how can I enter the boundary conditions? I mean, in general I wouldWe introduce a renormalized one-particle irreducible, 1PI, vertex part scalar field theory setting in momentum space to computing the critical exponents ν and η, at least at two-loop order, for a layered parallel plate geometry separated by a distance L, with periodic as well as antiperiodic boundary conditions on the plates. By using the topological degree theory, some existence results are obtained. Boundary conditions, once stated, remain in effect until explicitly changed or until the end of the path. SOUPLET, Optimal uniqueness condition for the antiperiodic solutions of some nonlinear parabolic equations, Nonlinear Anal. Anti-Periodic Boundary Conditions in Supersymmetric DLCQ It is of considerable importance to have a numerical method for solving supersymmetric theories that can support a non-zero central charge. Let y 1(; ) and y The twisted boundary conditions representing the fluxes couple states of opposite parity unless the independent twist angles for up and down spins correspond to periodic or antiperiodic boundary conditions. However, the boundary values are made to be of equal magnitude but opposite sign. JANKOWSKI Department of Differential Equations, Gdansk University of Technology 11/12 G. Math. Some estimates are given for the periodic and antiperiodic eigenvalues. Investigate a Laplace Equation on a Torus. and Ahmad et al. In this System of Nonlinear Fractional Differential Equations with Antiperiodic Boundary Conditions HuinaZhang 1,2 andWenjieGao 1 Institute of Mathematics, Jilin University, Changchun , China College of Science, China University of Petroleum (East China), Qingdao, China Correspondence should be addressed to Wenjie Gao; wjgao@mail. $\endgroup$ – John Rennie Nov 19 '13 at An application of an avery type fixed point theorem to a second order antiperiodic boundary value problem. Rev. Box 80203, Jeddah 21589, Saudi Arabia. This is possible because of the nonlinearity of Eqs. The limitation caused by the boundary conditions provides a scaling variable L ξ∞, where ξ∞ is the (bulk) correlation length of the in-finite system. Antiperiodic Boundary Value Problems for Finite Dimensional Differential Systems. $\endgroup$ – user21 Mar 9 '16 The boundary condition u50 is called periodic boundary conditions ~PBC!, u5p antiperiodic boundary conditions ~ABC!, and the general condition with uÞ0, twisted bound-ary conditions ~TBC!@1#. C. We study the existence of solutions for a class of fractional differential inclusions with anti-periodic boundary conditions. For bosonic fields one must generally choose periodic boundary conditions, but the zero mode is in most cases not an We present a novel formulation of SDLCQ where the fields satisfy antiperiodic boundary conditions. com/help/periodicboundaries. Ask Question 8. Existence of solutions for first order ordinary differential equations with nonlinear boundary Finally, the antiperiodic boundary condition u(0) = −u(T). One is therefore prevented from studying BPS states in the standard supersymmetric formulation of DLCQ (SDLCQ). It is shown that a computer program for periodic boundary conditions can be easily adapted to the new boundary conditions. erature obtained with other Fractional differential inclusions with anti-periodic boundary conditions 3 Also, due to the requirement h 2AC(J, E), a problem arises when we study the problem (1. Xu studied a class of boundary value problems of fractional differential equations with integral and antiperiodic boundary conditions [23]. It is a well established result that the global properties of the spacetime, even if it is locally flat, can give rise to new physics. The antiperiodic problem is similar to the periodic problem. 14) includes the periodic and antiperiodic boundary conditions (1. The central charge in supersymmetric theories is in general a boundary integral and therefore vanishes when one uses periodic boundary conditions. Specifying partial differential equations with boundary conditions. The question asks how a field can be multi-valued on the string as in those boundary conditions (since $\sigma$ and $\sigma+2\pi$ are really the same point in the string), while you simply wrote down again which boundary conditions they fulfill. 3 Initial and Final Value Problems Now consider the following condition of initial type Periodic Boundary Conditions on Ansys Workbench there was no ressource to show how to model Periodic boundary conditions on Patran, I found cyclic repetitivity INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS A: MATHEMATI CAL AND GENERAL J. On the whole, little work has been done on the fractional boundary value problems with integral or anti-periodic boundary conditions. I. In recent years, the solvability of the antiperiodic boundary value problems of first-order and second-order differential equations were studied by many Periodic and Anti-Periodic Boundary Conditions With the Lagrange Multipliers in the FEM edge and facet on a boundary is linked to an element on the pose the periodic or anti-periodic ent boundary conditions, such as periodic and antiperiodic boundary conditions, might be a powerful alternative to the fourth-order cumulant [2] in the study of critical phenomena. M. Gen. Fermion boundary conditions at finite temperature. We present additional \simple" convolutions based on periodic and antiperiodic boundary conditions that lead Neumann and Dirichlet boundary conditions. The Periodic Boundary-Value Problem Denote the unit cube in IRN by Q ≡ (0,1)N. Results. still possible to state a boundary condition on the remote boundary, but in most cases this would be inappropriate. Specify a Sturm – Liouville operator. Sturm-Liouville problem and periodic boundary conditions. [19] P. Periodic boundary conditions in 2D Periodic boundary conditions (PBCs) are a set of boundary conditions which are often chosen for approximating a large (infinite) system by using a small part called a unit cell . anks to the work of Tian and Henderson [ ], we borrow their ideas to give the variational Hikmet Gunes, Nazim B. and are widely studied by many authors It is of considerable importance to have a numerical method for solving supersymmetric theories that can support a non-zero central charge. For Fermi fields it is permissible to choose antiperiodic boundary conditions so that there is no zero-momentum mode. (5) of initial condition, and antiperiodic boundary conditions satisfy (15) and (16). El-Bohisie 1 1 Mathematics Department, Al-Azhar University-Gaza, Palestine. Antiperiodic boundary value problems have recently received considerable attention as antiperiodic boundary conditions appear in numerous we consider the following fractional differential inclusions with antiperiodic boundary conditions Antiperiodic Boundary Value Problems for Finite Dimensional Differential Systems. i= 1 they are called antiperiodic. Boundary conditions (periodic/anti-periodic) for diffusion equation and NDSolve. InSection 2 we consider the antiperiodic problem u t Au t f t, u t ,t∈ R, u t −u t T ,t∈ R, E1. The main result of the paper is based on Bohnenblust- Karlins fixed point theorem. TRITTMANN, Antiperiodic boundary conditions in supersymmetric discrete light cone quantization, Phys. boundary of the space, and it will therefore vanish if one uses periodic boundary conditions. antiperiodic boundary condition (with spatial “period” a) may also be written as a sum of two terms corresponding, each one, to a periodic boundary condition, but with spatial periods 2a and a, respectively (see Eqs. 1007/s00025-015-0454-2 Results in Mathematics Spectral Prop free, and antiperiodic boundary conditions Theodore W Burkhardtt and Ihnsouk GuimS Institut Laue-Langevin, I56X, F-38042 Grenoble Ctdex, France Received 20 August 1984 Abstract. Antiperiodic Boundary Value Problem for with antiperiodic boundary value conditions in the presence of classical fixed point theorems. 1 IntroductionThese are Dirichlet boundary conditions in the quantum-mechanical case, and periodic (antiperiodic) in the quantum statistical case. Kelley and Peterson inves- tigated oscillatory and spectral problems of self-adjoint second-order difference equations [9, Chapters 6 and 7]. The dependenceantiperiodic, free, fixed and mixed (mixture of the last two). So …• Periodic and antiperiodic boundary conditions Fourier expansion The D+1 Dirac equation implies where. (10) and (11)). Periodic Boundaries with Rotating Machines David Meeker As can be seen in the solution, the flux lines travel across the boundaries marked as antiperiodic. We show that in all these cases but the periodic one with an even number of sites $\mathsf{N}$, the transfer matrix of the model is related, by the vertex-IRF transformation, to the transfer matrix of the dynamical 6-vertex model with antiperiodic boundary conditions, which we have recently solved by means of Sklyanin's Separation of Variables nonlocal conditions and state-dependent delay. Adams, Hunter Havelin III. coupling with SF and SF-open boundary conditions. INTRODUCTION. , "A Difference Equation with Anti-Periodic Boundary Conditions" (2015). Physical fermions in the high-energy physics and condensed matter models have antiperiodic boundary conditions in time. Mathematics Faculty Articles. Keywords: Boundary value problems, fractional differential equations, integral conditions, anti-periodic conditions, Mo¨nch’s theorem. In each case the energy levels were ordered so that the energy increased steadily through the sequence, and the energy shift AE,, of the nth energy level was taken to be the difference 1 Ef: - Et1 between the value of the nthTwisted Boundary Conditions Jonathan Flynn Tsukuba LQCD&PP 15 Dec 2004 1/17. 1 ) and obtained the existence of at least one or two positive solutions by using the Krasnoselskii Specifying partial differential equations with boundary conditions. 1 where A is an n × n matrix, f : R × R n → R n is continuous, and ft T, x−ft, x for all t, x ∈ R×R n . We shall remark that the boundary condition (1. 35 (2002) 5189–5206 PII: S0305-4470(02)34224-0 Exact partition functions oProbability distribution of magnetization in the one-dimensional Ising model: effects of boundary conditions various boundary conditions (periodic, antiperiodic, free, block) demonstrate explicitly how the scaling functions depend on the boundary conditions. To impose these boundary conditions, the classical method (CM) requires a periodic mesh, where the We consider a second-order ordinary differential equation with antiperiodic boundary conditions and impulses. Kerimov and Ufuk Kaya, Spectral Properties of Fourth Order Differential Operators with Periodic and Antiperiodic Boundary Conditions, Results in Mathematics, 68, 3-4, (501), (2015). Math the references therein. Toggle Main Navigation. 109 N/m2 0. A. en While the standard temperature variable t[= (T – Tc)/Tc] is appropriate in the case of periodic and antiperiodic boundary conditions, the use of a shifted variable t[= t – ε(L), where ε(L) = O(L−1 In L)] is essential in the case of Neumann and Dirichlet boundary conditions. 3 = 0. Time-periodic solutions to a nonlinear wave equation with periodic or anti-periodic boundary conditions 465 Proceedings of the Royal Society A: Mathematical, Determine all the eigenvalues λ of the differential operator conditions on the eigenfunctions y(x): d2 dx2 subject to the following antiperiodic boundary As a consequence, write down the general solution of the homogeneous ODE the above antiperiodic boundary conditions. ent boundary conditions, such as periodic and antiperiodic boundary conditions, might be a powerful alternative to the fourth-order cumulant [2] in the study of critical phenomena. This modification of the periodic boundary conditions is frequently used in lattice field theories. The p with antiperiodic and periodic BC, respectively, using the eigenfunctions ea k coupling with SF and SF-open boundary conditions. boundary conditions involving the Caputo fractional derivative of order r ∈ (0,1]. 3 supplemented with q-antiperiodic boundary conditions for convex and non-convex multivalued maps. As a reference, the antiperiodic boundary conditions shown in Figure 2 are choosen. : Multnomah School District 1J, Portland Public Schools. For one flavour of AS/S (Dirac) fermion with periodic boundary conditions the C-breaking phase is favoured perturbatively for all values of the fermion CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We prove the existence results for second-order impulsive differential equations on time scales with antiperiodic boundary value conditions in the presence of classical fixed point theorems. Veliev Let Lbe the differential operator generated in the antiperiodic boundary condition y(ν)(1)=−y(ν) generated by the antiperiodic boundary conditions. com, wgt2512@163. Through the use of periodic boundary conditions, the time needed to analyze a rotating machine conditions are used instead of periodic boundary conditions [12]. , 80-952 Odafisk, PolandAnti-periodic Boundary Value Problems of φ-Laplacian Impulsive Differential Equations. The results are in perfect agreement constants, but may depend on the boundary conditions (BCs). In this paper, the spectral properties and oscillation theorems associated with the mixed boundary-value problems are developed. 1) in the case when f is a multifunction. 2). Boundary condition specifications that in 2D applied to a bounding curve are applied in 3D to the extruded sidewalls generated by that curve. 1 Introduction Boundary conditions (periodic/anti-periodic) for diffusion equation and NDSolve. Various results on the set of eigenvalues concerning both problems are presented. We find qualitative differences between the calculations of complexity from spatial volume and action (CV and CA). ary conditions are sometimes also employed [39] as are antiperiodic boundary conditions in one direction for the purpose of measuring spin sti ness. using antiperiodic boundary conditions. Antiperiodicity was investigated for the heat equation 6, free, and antiperiodic boundary conditions Theodore W Burkhardtt and Ihnsouk GuimS Institut Laue-Langevin, I56X, F-38042 Grenoble Ctdex, France Received 20 August 1984 Abstract. 2) where denotes the Caputo fractional derivative of order , Bohnenblust-Karlin fixed point theorem is applied to prove the existence of solutions of (1. 1990. Let y 1(; ) and y For Dirichlet boundary conditions we insert into , and obtain the ratio of fluctuation determinants in the form For periodic or antiperiodic boundary conditions and , the functions q(t) and in Eq. Periodic and Anti-Periodic Boundary Conditions With the Lagrange Multipliers in the FEM. Moreover, antiperiodic boundary conditions appear in physics in a variety of situations, see 35–40. htmlFlexPDE supports periodic and antiperiodic boundary conditions in one, two or three dimensions. Boundary Conditions It is a general mathematical principle that the number of boundary conditions necessary to determine a solution to a differential equation matches the order of the differential equation. In [30], by applying a mixed monotone method and the Guo-Krasnoselskii fixed point theorem, Zhao and Yang obtained For antiperiodic boundary conditions, however, the effect of the finite third dimension is to counteract the chiral symmetry breaking. com AbstractBoundary Conditions Wengui Yang 1,* and Yaping Qin 2 1 Ministry of Public Education, Sanmenxia Polytechnic, Sanmenxia 472000, China some existence results for sequential q-fractional integrodifferential equations with q-antiperiodic boundary conditions and nonlocal four-point boundary conditions, respectively. Zhang, Y Shi, Eigenvalues of second-order symmetric equations on time scales with periodic and antiperiodic boundary conditions, Appl. From the point of View of a first order shear deformation theory, the antiperiodic boundary conditions are equivalent to those shown in Figure 2b, since they involve the same shear force and bending moment. and antiperiodic boundary conditions, when coefficients are arbitrary sum-mable complex-valued functions. PeriodicBoundaryCondition is used together with differential equations to describe boundary conditions in functions such as NDSolve. pdesolutions. Britto, R. antiperiodic, free, fixed and mixed (mixture of the last two). We study the inhomogeneous 8-vertex model (or equivalently the XYZ Heisenberg spin-1/2 chain) with all kinds of integrable quasi-periodic boundary conditions: periodic, $\sigma^x$-twisted, $\sigma^y$-twisted or $\sigma^z$-twisted. The anti-periodic boundary value problem without impulses, i. These are precisely the boundary conditions that imply that the solution u and the flux a∇u · n are continuous when u is Q-periodically extended to IRN. ANTIPERIODIC BOUNDARY VALUE PROBLEM FOR NONLINEAR FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS PINSKY, U. The index i distinguishes differ-Antiperiodic boundary value problems have recently received considerable attention as antiperiodic boundary conditions appear in numerous situations, for instance, see 15–22 . and hence will require periodic faces on Y and Z faces, and antiperiodic face on the negative X face. As you know I'm simulating induction motor with femm, thanks for your answers. jlu. We extend the construction to more general Abstract