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Journal of Applied Mathematics
Volume 2013, Article ID 736583, 7 pages
Research Article

Existence of Positive Solutions for -Laplacian Dynamic Equations with Derivative on Time Scales

School of Mathematical Science, Shandong Normal University, Jinan 250014, China

Received 26 November 2012; Accepted 16 January 2013

Academic Editor: Yansheng Liu

Copyright © 2013 Jinjun Fan and Liqing Li. 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 consider the existence of positive solutions of nonlinear p-Laplacian dynamic equations with derivative on time scales. Applying the Avery-Peterson fixed point theorem, we obtain at least three positive solutions to the problem. An example is also presented to illustrate the applications of the obtained results.