Advances in Difference Equations
Volume 2010 (2010), Article ID 584375, 13 pages
Existence of Periodic Solutions for -Laplacian Equations on Time Scales
1School of Science, University of Jinan, Jinan, Shandong 250022, China
2School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, China
3Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO 65409-0020, USA
Received 30 July 2009; Revised 15 October 2009; Accepted 18 November 2009
Academic Editor: A. Pankov
Copyright © 2010 Fengjuan Cao 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.
We systematically explore the periodicity of Liénard type -Laplacian equations on time scales. Sufficient criteria are established for the existence of periodic solutions for such equations, which generalize many known results for differential equations when the time scale is chosen as the set of the real numbers. The main method is
based on the Mawhin's continuation theorem.