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Abstract and Applied AnalysisVolume 2009 2009, Article ID 341679, 16 pages

Research ArticleDepartment of Mathematics, North University of China, Taiyuan, Shanxi 030051, China

Received 3 August 2009; Revised 17 October 2009; Accepted 19 November 2009

Academic Editor: Ferhan Atici

Copyright © 2009 Yanbin Sang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.





Autor: Yanbin Sang

Fuente: https://www.hindawi.com/



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