Abstract and Applied Analysis
Volume 2010 (2010), Article ID 562634, 20 pages
doi:10.1155/2010/562634
Asymptotic dichotomy in a class of third-order nonlinear differential equations with impulses
Kun-Wen Wen1
, Gen-Qiang Wang1
and Sui Sun Cheng3
1Department of Computer Science, Guangdong Polytechnic Normal University, Guangzhou, Guangdong 510665, China
3Department of Mathematics, Tsing Hua University, Hsinchu 30043, Taiwan
Abstract
Solutions of quite a few higher-order delay functional differential equations oscillate or converge to zero. In this paper, we obtain several such dichotomous criteria for a class of third-order nonlinear differential equation with impulses.