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

Kaien Liu1 and Guowei Yang2

 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

Recommended by Alexander Domoshnitsky

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.