Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 243863, 8 pages
doi:10.1155/2008/243863
Research Article
Strict Stability Criteria for Impulsive Functional Differential Systems
1School of Mathematics, Qingdao University, Qingdao, Shandong 266071, China
2School of Automation Engineering, Qingdao University, Qingdao, Shandong 266071, China
Received 4 September 2007; Accepted 18 November 2007
Academic Editor: Alexander Domoshnitsky
Copyright © 2008 Kaien Liu and Guowei Yang. 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
By using Lyapunov functions and Razumikhin techniques, the strict stability of impulsive functional differential systems is investigated. Some comparison theorems are given by virtue of differential inequalities. The corresponding theorems in the literature can be deduced from our results.