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2013 Three-Point Boundary Value Problems of Nonlinear Second-Order q-Difference Equations Involving Different Numbers of q
Thanin Sitthiwirattham, Jessada Tariboon, Sotiris K. Ntouyas
J. Appl. Math. 2013: 1-12 (2013). DOI: 10.1155/2013/763786

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.

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Thanin Sitthiwirattham. Jessada Tariboon. Sotiris K. Ntouyas. "Three-Point Boundary Value Problems of Nonlinear Second-Order q-Difference Equations Involving Different Numbers of q." J. Appl. Math. 2013 1 - 12, 2013. https://doi.org/10.1155/2013/763786

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950860
MathSciNet: MR3115287
Digital Object Identifier: 10.1155/2013/763786

Rights: Copyright © 2013 Hindawi

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