Solvability of Discrete Neumann Boundary Value Problems
نویسندگان
چکیده
In this article we gain solvability to a nonlinear, second-order difference equation with discrete Neumann boundary conditions. Our methods involve new inequalities on the right-hand side of the difference equation and Schaefer’s theorem in the finitedimensional space setting. Running Head: Discrete BVPs AMS Subject Code: 39A12, 34B15 Corresponding Author: C C Tisdell
منابع مشابه
Solvability of discrete Neumann boundary value problems
In this article we gain solvability to a nonlinear, second-order difference equation with discrete Neumann boundary conditions. Our methods involve new inequalities on the right-hand side of the difference equation and Schaefer’s Theorem in the finite-dimensional space setting. © 2006 Elsevier Inc. All rights reserved.
متن کاملNonexistence and existence results for a 2$n$th-order $p$-Laplacian discrete Neumann boundary value problem
This paper is concerned with a 2nth-order p-Laplacian difference equation. By using the critical point method, we establish various sets of sufficient conditions for the nonexistence and existence of solutions for Neumann boundary value problem and give some new results. Results obtained successfully generalize and complement the existing ones.
متن کاملDynamic Systems and Applications 18 (2009) 265-274 POSITIVE SOLUTIONS FOR DISCRETE BOUNDARY VALUE PROBLEMS
Discrete boundary value problems have been discussed extensively in the literature; see, for example, Agarwal et al. [1], Anderson et al. [5], and Avery et al. [6], as well as the references cited therein. In [1], the authors use critical point theory to establish the existence of multiple solutions of some regular as well as singular discrete boundary value problems. Solvability of a nonlinear...
متن کاملSolvability of Fractional Analogues of the Neumann Problem for a Nonhomogeneous Biharmonic Equation
In this article we study the solvability of some boundary value problems for inhomogenous biharmobic equations. As a boundary operator we consider the differentiation operator of fractional order in the Miller-Ross sense. This problem is a generalization of the well known Neumann problems.
متن کاملA Boundary Meshless Method for Neumann Problem
Boundary integral equations (BIE) are reformulations of boundary value problems for partial differential equations. There is a plethora of research on numerical methods for all types of these equations such as solving by discretization which includes numerical integration. In this paper, the Neumann problem is reformulated to a BIE, and then moving least squares as a meshless method is describe...
متن کامل