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

Nittaya Pongarm, Suphawat Asawasamrit and Jessada Tariboon

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

Abstract: This paper studies sufficient conditions for the existence of solutions to the problem of sequential derivatives of nonlinear q‐difference equations with three‐point q‐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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https://doi.org/10.1155/2013/605169

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:605169

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