Advances in Difference Equations
Volume 2009 (2009), Article ID 312058, 18 pages
doi:10.1155/2009/312058
Research Article

Existence of Positive Solutions for Multipoint Boundary Value Problem with p-Laplacian on Time Scales

Meng Zhang,1 Shurong Sun,1 and Zhenlai Han1,2

1School of Science, University of Jinan, Jinan, Shandong 250022, China
2School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, China

Received 11 March 2009; Accepted 8 May 2009

Academic Editor: Victoria Otero-Espinar

Copyright © 2009 Meng Zhang 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 consider the existence of positive solutions for a class of second-order multi-point boundary value problem with p-Laplacian on time scales. By using the well-known Krasnosel'ski's fixed-point theorem, some new existence criteria for positive solutions of the boundary value problem are presented. As an application, an example is given to illustrate the main results.