Sequential Derivatives of Nonlinear -Difference Equations with Three-Point -Integral Boundary Conditions

Nittaya Pongarm, Suphawat Asawasamrit and Jessada Tariboon

Journal of Applied Mathematics, 2013, vol. 2013, 1-9

Abstract:

This paper studies sufficient conditions for the existence of solutions to the problem of sequential derivatives of nonlinear -difference equations with three-point -integral boundary conditions. Our results are concerned with several quantum numbers of derivatives and integrals. By using Banach's contraction mapping, Krasnoselskii's fixed-point theorem, and Leray-Schauder degree theory, some new existence results are obtained. Two examples illustrate our results.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:605169

DOI: 10.1155/2013/605169

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