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.
Citation
Nittaya Pongarm. Suphawat Asawasamrit. Jessada Tariboon. "Sequential Derivatives of Nonlinear -Difference Equations with Three-Point -Integral Boundary Conditions." J. Appl. Math. 2013 1 - 9, 2013. https://doi.org/10.1155/2013/605169
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