Abstract and Applied Analysis
Volume 2010 (2010), Article ID 562634, 20 pages
doi:10.1155/2010/562634
Research Article

Asymptotic Dichotomy in a Class of Third-Order Nonlinear Differential Equations with Impulses

Kun-Wen Wen,1 Gen-Qiang Wang,1 and Sui Sun Cheng2

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

Received 15 November 2009; Revised 26 January 2010; Accepted 25 February 2010

Academic Editor: Ağacik Zafer

Copyright © 2010 Kun-Wen Wen 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

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.