Abstract

This paper deals with the existence and multiplicity of positive solutions for a system of second-order discrete boundary value problem. The main results are obtained via Jensen’s inequalities, properties of concave and convex functions, and the Krasnosel’skii-Zabreiko fixed point theorem. Furthermore, concave and convex functions are employed to emphasize the coupling behaviors of nonlinear terms \(f\) and \(g\) and we provide two explicit examples to illustrate our main results and the coupling behaviors.

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