Boundary Value Problems
Volume 2009 (2009), Article ID 491952, 20 pages
doi:10.1155/2009/491952
Research Article

Existence of Solutions for Fourth-Order Four-Point Boundary Value Problem on Time Scales

Dandan Yang,1 Gang Li,1 and Chuanzhi Bai2

1School of Mathematical Science, Yangzhou University, Yangzhou 225002, China
2Department of Mathematics, Huaiyin Normal University, Huaian, Jiangsu 223300, China

Received 11 April 2009; Revised 8 July 2009; Accepted 28 July 2009

Academic Editor: Irena Rachůnková

Copyright © 2009 Dandan Yang et al. 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 present an existence result for fourth-order four-point boundary value problem on time scales. Our analysis is based on a fixed point theorem due to Krasnoselskii and Zabreiko.