Advances in Difference Equations
Volume 2010 (2010), Article ID 197263, 11 pages
doi:10.1155/2010/197263
Research Article

Existence and Uniqueness of Periodic Solutions for a Class of Nonlinear Equations with p-Laplacian-Like Operators

Hui-Sheng Ding, Guo-Rong Ye, and Wei Long

College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, China

Received 1 February 2010; Accepted 19 March 2010

Academic Editor: Gaston Mandata N'Guerekata

Copyright © 2010 Hui-Sheng Ding 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 investigate the following nonlinear equations with p-Laplacian-like operators (φ(x′(t)))′+f(x(t))x′(t)+g(x(t))=e(t): some criteria to guarantee the existence and uniqueness of periodic solutions of the above equation are given by using Mawhin's continuation theorem. Our results are new and extend some recent results due to Liu (B. Liu, Existence and uniqueness of periodic solutions for a kind of Lienard type p-Laplacian equation, Nonlinear Analysis TMA, 69, 724–729, 2008).