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

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  • Thanin Sitthiwirattham
  • Jessada Tariboon
  • Sotiris K. Ntouyas

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.

Suggested Citation

  • Thanin Sitthiwirattham & Jessada Tariboon & Sotiris K. Ntouyas, 2013. "Three-Point Boundary Value Problems of Nonlinear Second-Order -Difference Equations Involving Different Numbers of," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-12, October.
    • Handle: RePEc:hin:jnljam:763786
    DOI: 10.1155/2013/763786
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