Advances in Difference Equations
Volume 2009 (2009), Article ID 123565, 20 pages
doi:10.1155/2009/123565
Research Article

Existence of Solutions for Nonlinear Four-Point p-Laplacian Boundary Value Problems on Time Scales

S. Gulsan Topal, O. Batit Ozen, and Erbil Cetin

Department of Mathematics, Ege University, Bornova, 35100 Izmir, Turkey

Received 16 March 2009; Accepted 20 July 2009

Academic Editor: Alberto Cabada

Copyright © 2009 S. Gulsan Topal 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 are concerned with proving the existence of positive solutions of a nonlinear second-order four-point boundary value problem with a p-Laplacian operator on time scales. The proofs are based on the fixed point theorems concerning cones in a Banach space. Existence result for p-Laplacian boundary value problem is also given by the monotone method.