Abstract
We study the existence and multiplicity of positive solutions fora system of nonlinear second-order digerence equations sub ject to multi-pointboundary conditions
Highlights
We study the existence and multiplicity of positive solutions for a system of nonlinear second-order di¤erence equations subject to multi-point boundary conditions
We consider the system of nonlinear second-order di¤erence equations (S)
Under some assumptions on f and g, we prove the existence and multiplicity of positive solutions of problem (S) (BC), by applying the ...xed point index theory
Summary
By a positive solution of (S) (BC), we understand a pair of sequences ((un)n=0;N ; (vn)n=0;N ) which satis...es (S) and (BC) and un 0; vn 0 for all n = 0; N and maxn=0;N un > 0, maxn=0;N vn > 0 This problem is a generalization of the one studied in [2] where ai = 0 for all i = 1; p and ci = 0 for all i = 1; r. Di¤erence equations, multi-point boundary conditions, positive solutions. In this last paper, the existence of positive solutions is proved by using the Schauder ...xed point theorem and the nonexistence of positive solutions is studied.
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