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

Thanin Sitthiwirattham, Jessada Tariboon and Sotiris K. Ntouyas

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

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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https://doi.org/10.1155/2013/763786

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:763786

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