Abstract. In this paper is concerned with the existence of solutions for nonlinear second-order q-difference equations with three-point multi-term q-integral boundary conditions. Some new existence results are obtained by using Banach's contraction mapping, Krasnoselskii's fixed point theorem and Leray-Schauder degree theory. As an application, we give two examples that illustrate our results.

Received: April 13, 2013

AMS Subject Classification: 34B10, 39A13

Key Words and Phrases: existence, q-difference equation, q-derivative, q-integral, boundary value problem

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