Boundary value problems for functional difference equations

Boundary Value Problems for Functional Difference Equations on Infinite Intervals

Periodic Boundary Value Problems for First Order Difference Equations

In this paper, existence criteria for single and multiple positive solutions of periodic boundary value problems for first order difference equations of the form

Boundary Value Problems for First Order Impulsive Difference Equations ∗

In this paper, first order impulsive difference equations with linear boundary conditions are discussed. By using a new comparison theorem and the method of upper and lower solutions coupled with the monotone iterative technique, criteria on the existence of minimal and maximal solutions are obtained. AMS subject classification: 34D20, 34A37.

On Nonlinear Boundary Value Problems for Functional Difference Equations with p-Laplacian

The existence of solutions of boundary value problems for finite difference equations were studied by many authors, one may see the text books 1, 2 , the papers 3–5 and the references therein. We present some representative ones, which are the motivations of this paper. In papers 3, 4 , using Krasnoselskii fixed point theorem and Leggett-Williams fixed point theorem, respectively, Karakostas st...

Anti–periodic Boundary Value Problems for Nonlinear Higher Order Functional Difference Equations

Sufficient conditions for the existence of at least one solution of anti-periodic boundary value problems for nonlinear functional difference equations are established. We allow f to be at most linear, superlinear or sublinear in obtained results.