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Abstract
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Boundary Value Problems
Volume 2007 (2006), Article ID 68758, 10 pages
doi:10.1155/2007/68758

Existence of positive solutions for fourth-order three-point boundary value problems

Chuanzhi Bai

Department of Mathematics, Huaiyin Teachers College, Huaian 223300, China

Abstract

We are concerned with the nonlinear fourth-order three-point boundary value problem u(4)(t)=a(t)f(u(t)), 0<t<1, u(0)=u(1)=0, αu″(η)−βu‴(η)=0, γu″(1)+δu‴(1)=0. By using Krasnoselskii's fixed point theorem in a cone, we get some existence results of positive solutions.