Journal of Applied Mathematics
Volume 2012 (2012), Article ID 652465, 23 pages
http://dx.doi.org/10.1155/2012/652465
Research Article

Solutions for p-Laplacian Dynamic Delay Differential Equations on Time Scales

Hua Su,1 Lishan Liu,2 and Xinjun Wang3

1School of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, Shandong Jinan, 250014, China
2School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China
3School of Economics, Shandong University, Jinan 250014, China

Received 9 December 2011; Accepted 19 January 2012

Academic Editor: Rudong Chen

Copyright © 2012 Hua Su 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

Let T be a time scale. We study the existence of positive solutions for the nonlinear four-point singular boundary value problem with p-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions. By using the fixed-point index theory, the existence of positive solution and many positive solutions for nonlinear four-point singular boundary value problem with p-Laplacian operator is obtained.