Open Access Research Article

Existence and Uniqueness of Solutions for Higher-Order Three-Point Boundary Value Problems

Minghe Pei1 and SungKag Chang2*

Author Affiliations

1 Department of Mathematics, Bei Hua University, JiLin 132013, China

2 Department of Mathematics, Yeungnam University, Kyongsan 712-749, South Korea

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Boundary Value Problems 2009, 2009:362983  doi:10.1155/2009/362983

Published: 19 August 2009

Abstract

We are concerned with the higher-order nonlinear three-point boundary value problems: with the three point boundary conditions ; where is continuous, are continuous, and are arbitrary given constants. The existence and uniqueness results are obtained by using the method of upper and lower solutions together with Leray-Schauder degree theory. We give two examples to demonstrate our result.