Three-Point Boundary Value Problems of Nonlinear Second-Order -Difference Equations Involving Different Numbers of

Thanin Sitthiwirattham, Jessada Tariboon and Sotiris K. Ntouyas

Journal of Applied Mathematics, 2013, vol. 2013, 1-12

Abstract:

We study a new class of three-point boundary value problems of nonlinear second-order q -difference equations. Our problems contain different numbers of q in derivatives and integrals. By using a variety of fixed point theorems (such as Banach’s contraction principle, Boyd and Wong fixed point theorem for nonlinear contractions, Krasnoselskii’s fixed point theorem, and Leray-Schauder nonlinear alternative) and Leray-Schauder degree theory, some new existence and uniqueness results are obtained. Illustrative examples are also presented.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:763786

DOI: 10.1155/2013/763786

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