Boundary Value Problems
Volume 2007 (2007), Article ID 68758, 10 pages
Research Article

Existence of Positive Solutions for Fourth-Order Three-Point Boundary Value Problems

Chuanzhi Bai

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

Received 11 July 2007; Accepted 7 November 2007

Academic Editor: Jean Mawhin

Copyright © 2007 Chuanzhi Bai. 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.


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.