Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 243863, 8 pages
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

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.


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.