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2009 Solvability of a Higher-Order Three-Point Boundary Value Problem on Time Scales
Yanbin Sang
Abstr. Appl. Anal. 2009: 1-16 (2009). DOI: 10.1155/2009/341679

Abstract

We consider a higher-order three-point boundary value problem on time scales.A new existence result is first obtained by using a fixed point theorem due to Krasnoselskii andZabreiko. Later, under certain growth conditions imposed on the nonlinearity, several sufficientconditions for the existence of a nonnegative and nontrivial solution are obtained by usingLeray-Schauder nonlinear alternative. Our conditions imposed on nonlinearity are all very easyto verify; as an application, some examples to demonstrate our results are given.

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Yanbin Sang. "Solvability of a Higher-Order Three-Point Boundary Value Problem on Time Scales." Abstr. Appl. Anal. 2009 1 - 16, 2009. https://doi.org/10.1155/2009/341679

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1236.34113
MathSciNet: MR2574500
Digital Object Identifier: 10.1155/2009/341679

Rights: Copyright © 2009 Hindawi

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