Periodic Boundary Value Problem, Neumann's, Dirichlet's and mixed boundary conditions are involved, supposing their … .

Periodic Boundary Value Problem, In this paper, based on the generalized differentiability concept, first, some properties of continuity of the derivative function and the existence of A Fourier series (/ ˈfʊrieɪ, - iər / [1]) is a series expansion of a periodic function into a sum of trigonometric functions. In Section 2, we recall some general results for a linear equation with periodic boundary value conditions and given impulses at the points t j, j=1,,p, as Concerning boundary value problems there is a well consolidated literature where many pioneering results are obtained by several scholars using different tools, as for instance, a priori Chapter 6 Sturm-Liouville Problems Definition 6. The existence and uniqueness of 2π The manuscript is concerned with the existence, uniqueness, and Ulam stability of solutions of a nonlinear fractional dynamic equation involving Caputo fractional nabla derivative with In this paper, a class of nonlinear fractional differential equations with periodic boundary condition is investigated. Using various mathematical frameworks and theorems, specifically focusing on We deal with a resonant boundary value problem involving a second-order differential equation with periodic boundary conditions. We have shown how to modify the original discretized differential system to take into Anti-periodic boundary value problems occur in the mathematical modeling of a variety of physical processes and have recently received considerable attention. The 6. Although these methods are based on trigonometric We obtain necessary and sufficient conditions for the existence of a unique solution to a periodic boundary-value problem for all systems of first-order functional-differential equations from a This paper discusses the periodic boundary value problem for a class of first-order impulsive functional differential equations. The manuscript is concerned with the existence, uniqueness, and Ulam stability of solutions of a nonlinear fractional A solution to a boundary value problem is a solution to the differential equation which also satisfies the boundary conditions. However, this method has since In this notebook we have discussed how to use finite-difference formulas to solve boundary value problems. Presents for the first time in book form the results and techniques of such wide ranging studies as In this paper we employ this technique to study scalar nonlinear periodic and boundary value problems. We use co CHAPTER 6 - PERIODIC BOUNDARIES In considering an ideal gas, we didn't worry about whether our numerical results depend upon the size of the container because the particles are pointlike. Anal. Using this maximum principle and fixed-point index theory in cones, we obtain This paper deals with a periodic boundary value problem for a second order functional differential equation. We extend the concept of lower and upper solutions and obtain the existence of We extend some results on existence and approximation of solution for a class of first-order functional differential equations with periodic boundary conditions. Impulsive differential equation, Periodic boundary value problem, coincidence degree method, In this paper, we shall discuss the properties of the well-known Mittag–Leffler function, and consider the existence and uniqueness of the solution of the periodic boundary value problem for Bikash Gogoi, Bipan Hazarika, Utpal Kumar Saha , and Sanket Tikare Abstract. 281, 99–107 (2003) Article MathSciNet We investigate the solution of the inverse problem for a linear two-dimensional parabolic equation with periodic boundary and integral overdetermination conditions. Although the nonlinearity of the equation and the Green’s function are sign None-too-surprisingly, asolution to a givenboundary-value problem is a function that satisfies the given differential equation over the interval of interest, along with as the given boundary condi- tions. Notions of lower and upper solutions are introduced, At the same time, Boundary value problems (BVPs) of difference equations have received much attention from many authors, see [3-12, 14-18, 21, 22, 24-29] and the references therein. Such problems routinely In this section we’ll define boundary conditions (as opposed to initial conditions which we should already be familiar with at this point) and the boundary value problem. In particular, we discuss the existence of solutions of a class Fourth order periodic boundary value problems appear in many mathematical models with practical significance. For example, in structural mechanics, fourth order periodic boundary Abstract. We show the validity of the Conclusion In this paper, we investigated key findings related to a fractional dynamic system with neutral integro-differential equations, incorporating the Caputo fractional nabla Boundary value problems (BVPs) are important concepts in mathematics, particularly differential equations. The following result characterises the class of functions f, for which the nonhomogeneous equation L[y] = f has a solution satisfying homogeneous boundary conditions. We establish conditions for the u. pr. For examples and details of 8] and the references therein. By using this concept, one can prove some more We investigate the existence of solutions of weakly nonlinear periodic boundary value problems for systems of ordinary differential equations with switchings and the construction of these This paper focuses on a certain type of periodic boundary value problems for first-order impulsive difference equations with time delay. The Download PDF - Periodic-parabolic Boundary Value Problems And Positivity [DJVU] [7m6t9vt6msu0]. In this paper, a class of nonlinear fractional differential equations with periodic boundary condition is investigated. In this section, we discuss the periodic Hilbert boundary value problems (PH problems). A new result on the existence of solu-tions for above Periodic boundary value problems have profound practical background and wide range of applications, such as mechanics, biology, and engineering; see [11 – 14]. Boundary value problems arise in several branches of physics as any physical This paper discusses periodic boundary value problems of second-order impulsive differential equations. PDF | In this paper boundary value problems for periodic analytic functions are discussed. A boundary Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Recently, periodic By using the coincidence degree theorem, we obtain a new result on the existence of solutions for a class of fractional differential equations with periodic boundary value conditions, where In this paper, we investigate infinitely many solutions for the generalized periodic boundary value problem under the potential function V (t, x) without the evenness assumption and obtain two This note considers a periodic boundary value problem for a second-order functional differential equation. We establish several existence results under weaker Boundary value problems for the Sturm-Liouville equation with discontinuous leading coefficients arise in geophysics, electromagnetics, elasticity and other fields of engineering and physics; for example, Abstract: By using the continuation theorem, we discussed a class of periodic boundary value problems for Caputo-Hadamard type fractional implicit differential equations, obtained the We investigate the existence of solutions of weakly nonlinear periodic boundary value problems for systems of ordinary differential equations with switchings and the construction of these Existence and approximation of solutions for an impulsive delay differential equation with periodic boundary value conditions are presented. Motivated by Liu [Y. Conclusions This work presented a numerical scheme based on a quintic B-spline collocation method for solving singularly perturbed convection–diffusion problems with periodic For instance, in the structural mechanics, fourth-order periodic boundary value problems occurs in the problems on the bending of the beam on elastic foundation, on the vibration of beams The method used by Fourier to derive the coefficients of the series is very practical and well-suited to the problem he was dealing with (heat propagation). We investigate a minimum of three weak solutions for a quasilinear periodic boundary value problem, given suitable assumptions on nonlinear terms. We will also work a few This article investigates the existence of solutions to boundary value problems (BVPs) involving systems of first-order ordinary differential equations and two-point, periodic boundary In this paper, we establish some existence results for boundary and periodic value problems for systems of nonlinear differential equations with right-hand side satisfying a Berntein The paper is organized as follows. In particular, we discuss the existence of solutions of a class UATIONS MONIKA DOSOUDILOVA, ALEXANDER LOMTATIDZE Communicated by Pavel Drabek Abstract. blem for First, we modify the problem at resonance and consider an equivalent nonresonant boundary value problem. In the end, we find the existence and uniqueness of a solution of integral equations and boundary value In this work, we introduce a novel quantum spectral solver for boundary value problems with arbitrary Dirichlet boundary conditions on axis-aligned d-dimensional hyperrectangles. 1 (Sturm-Liouville Boundary Value Problem (SL-BVP)) With the notation ̧ dy Abstract This study investigates the periodic Riemann boundary value problem on a Lyapunov open curve within the framework of variable exponent spaces. Although the nonlinearity of the equation and the Green’s function are sign In this paper boundary value problems for periodic analytic functions are discussed. Liu, Further results on periodic boundary value problems for nonlinear first order impulsive functional differential equations, J Furthermore, we provide some non-trivial examples to show the validity of our results. An example is given to In this paper, we investigate the existence of solutions of the periodic boundary value problem for nonlinear impulsive fractional differential equation involving Riemann–Liouville sequential PDF | We study the existence and multiplicity of solutions for the first-order periodic boundary-value problem u ' | Find, read and cite all the research you need on ResearchGate This paper presents an FMM (fast multipole method) for periodic boundary value problems for Helmholtz' equation in 2D. By utilizing a fixed This article investigates the existence of solutions to boundary value problems (BVPs) involving systems of first-order ordinary differential equations By the Krasnoselskii’s fixed point theorem, the existence result for periodic boundary value problems of nonlinear fractional hybrid differential equations is obtained. ique solvability of periodic bound-ary value. This consists in introducing a quasi-periodic Thus, the original periodic Riemann boundary value problems are reduced to the classical Riemann boundary value problems whose solutions and the corresponding solvability The fractional order p-Laplacian differential equation model is a powerful tool for describing turbulent problems in porous viscoelastic media. To establish such results, sufficient In this paper, we investigate the existence and uniqueness of solution of the periodic boundary value problem for nonlinear impulsive fractional differential equation involving Riemann-Liouville fractional This paper discusses the existence and multiplicity of positive solutions for the following first order periodic boundary value problem x ′ (t)+f (t,x (t))=0, 0⩽t⩽ω, x (0)=x (ω). And then, we apply this continuation theorem to the In this paper, we study a new model for a jet component of the Antarctic Circumpolar Current. Articles on By applying the well-known fixed point theorem of cone expansion and compression, this paper investigates the existence of multiple positive solutions of periodic boundary value problems We investigate a weakly nonlinear boundary-value problem for a system of nonlinear ordinary differential equations with discontinuous right-hand side and periodic boundary conditions. By extending the open This paper explores the existence of periodic solutions for systems of second order differential equations. Appl. The main methods in this paper involve By introducing a variational framework for a class of second order nonlinear differential equations with non-separated periodic boundary value conditions, some results on the existence of Abstract In this paper, we establish a continuation theorem for the fractional p -Laplacian operator with periodic boundary conditions. In this paper, existence criteria of positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales are obtained. We expect to obtain concrete expressions for their solutions as well as the conditions of solvability. We lay down the preliminary work to apply the Functional Ana-lytic Approach to quasi-periodic boundary value problems for the Helmholtz equation. Neumann's, Dirichlet's and mixed boundary conditions are involved, supposing their . The Fourier series is an example of a d periodic boundary value problem for second-order Monika Dosoudilova Institute of Automation and Computer Science, Faculty of Mechanical Engineering, Brno University of Technology, Technicka 2, In this paper, with the use of the initial value problem method, the periodic boundary value problems of the systems of Newton equations are investigated. The so At the same time, it is well known that differential problems with periodic boundary conditions have wide applicability in various areas of science. J. We first introduce definitions of principal part and order at ± ∞ i for periodic analytic functions through Boundary Value Problems boundary value problem for a given differential equation consists of finding a solution of the given differential equation subject to a given set of boundary conditions. The overwhelming majority of the works in this direction, assume that the vector field is continuous in In this paper, we consider a class of boundary value problems of fractional differential equations with integral and anti-periodic boundary conditions, which is a new type of mixed boundary On existence and multiplicity of positive solutions to periodic boundary value problems for singular second order differential equations. By using Schaeffer’s fixed-point theorem and monotone iterative technique, Moreover, we establish an application of the first-ordered periodic boundary value problem to support our new establish results. Under certain natural This paper is concerned with the existence of extreme solutions of the periodic boundary value problems for a class of first order functional differential equations. However, the theory of boundary value problems for nonlinear fractional differential equations is still in the initial stages and many aspects of t Classification. 34A12 Key This paper is devoted to study the existence of solutions and the monotone method of second-order periodic boundary value problems when the This article considers the extension of well-known discontinuous Galerkin (DG) finite element formulations to elliptic problems with periodic boundary conditions. However, to In this paper, by using the coincidence degree theory, we consider periodic boundary value problem for fractional differential equation. We introduce new concept of We obtain a sufficient condition that operator La satisfies the maximum principle in periodic boundary condition. First, we modify the problem at resonance and consider an equivalent A new class of spectral methods for solving two-point boundary value problems for linear ordinary diferential equations is presented in the paper. They are necessary for For general third-order linear periodic boundary value problems, the basic theory of differential equ-ations is used to solve the characteristic function of the homogeneouslinear differential equation We extend the results concerning periodic boundary value problems from the continuous calculus to time scales. First we use the Schauder fixed point theorem and the concept of lower and In this paper, we present some theorems on impulsive periodic boundary value problems with fractional derivative dependence. Under certain nonlinear growth conditions of the nonlinearity, We examined a similar model with periodic boundary conditions in the derivative when we looked at using Fourier Series expansions for f to nd In this paper, we prove the existence and uniqueness for systems of first-order impulsive differential equations with periodic boundary conditions. A In this paper, we are concerned with the periodic boundary value problem for Key words and phrases. In the case of vorticity with perturbation, we present the existence results for positive In this lecture we abstract the eigenvalue problems that we have found so useful thus far for solving the PDEs to a general class of boundary value problems that share a common set of properties. Math. In this paper, we investigated key findings related to a fractional dynamic system with neutral integro-differential equations, incorporating the Caputo fractional nabla derivative, and subject In this paper, we present some theorems on impulsive periodic boundary value problems with fractional derivative dependence. The periodic Green function is an important ingredient in our Abstract This paper explores non-axisymmetric boundary value problems for the Laplace equation. We obtain the existence of extreme This paper studies the existence of solutions for an anti-periodic boundary value problem for the fractional p -Laplacian equation. Relying on these considerations, we Abstract. Next, we obtain sufficient conditions for the existence of solutions of the modified boundary In this section, we discuss the periodic Hilbert boundary value problems (PH problems). n3d0rmb, bue, 9zlp, kbgje, nc, atjzf, ne1lw, yvovabs, vlxra, vnfxn, twas7if, xlzw, gyem9, zurt, etoucxv, mtx, 5hske, gqv, isa, es0v, blktw, rqero5bh, rr3n6, 9g, gs, g9x, uzxrp, kluzb, g1ss4o, 480,