On a multi-point discrete boundary value problem

• Published in: Journal of difference equations and applications Vol. 19; no. 4; pp. 690 - 699
• Main Authors: Henderson, Johnny, Luca, Rodica
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis Group 01.04.2013; Taylor & Francis Ltd
• Subjects: Boundary conditions; Boundary value problems; Difference equations; Differential equations; Existence theorems; Mathematical analysis; multi-point boundary conditions; Nonlinear equations; Nonlinearity; positive solutions; Proving; Theorems

We study the existence and non-existence of positive solutions for a system of nonlinear second-order difference equations subject to multi-point boundary conditions. The proof of the existence of positive solutions is based upon the Schauder fixed point theorem.