International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 950797, 14 pages
doi:10.1155/2009/950797
Research Article

Existence and Uniqueness of Periodic Solutions for a Second-Order Nonlinear Differential Equation with Piecewise Constant Argument

Gen-qiang Wang1 and Sui Sun Cheng2

1Department of Computer Science, Guangdong Polytechnic Normal University, Guangzhou, Guangdong 510665, China
2Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30043, China

Received 4 July 2009; Revised 1 October 2009; Accepted 2 November 2009

Academic Editor: Enrico Obrecht

Copyright © 2009 Gen-qiang Wang and Sui Sun Cheng. 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

Based on a continuation theorem of Mawhin, a unique periodic solution is found for a second-order nonlinear differential equation with piecewise constant argument.