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

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

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.