College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, China
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.
We investigate the following nonlinear equations with -Laplacian-like
operators : 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 -Laplacian equation, Nonlinear Analysis TMA, 69, 724–729, 2008).