Advances in Difference Equations
Volume 2010 (2010), Article ID 235749, 14 pages
doi:10.1155/2010/235749
Research Article

Uniqueness of Periodic Solution for a Class of Liénard p-Laplacian Equations

Fengjuan Cao,1 Zhenlai Han,1,2 Ping Zhao,2 and Shurong Sun1,3

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 31 December 2009; Accepted 23 February 2010

Academic Editor: Gaston Mandata N'Guerekata

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.

Abstract

By topological degree theory and some analysis skills, we consider a class of generalized Liénard type p-Laplacian equations. Upon some suitable assumptions, the existence and uniqueness of periodic solutions for the generalized Liénard type p-Laplacian differential equations are obtained. It is significant that the nonlinear term contains two variables.