IJPAM: Volume 34, No. 4 (2007)

STABILITY OF IMPULSIVE FUNCTIONAL
DIFFERENTIAL SYSTEMS IN BANACH SPACES

Wei Sun$^1$, Changli Liu$^2$, Yanhua Zhang$^3$
$^1$School of Mathematics and Computational Science
Sun Yat-Sen University
Guangzhou, Guangdong, 510275, P.R. CHINA
e-mail: vsun_2006@163.com
$^2$Department of Information Science
Taishan Medical University
Taishan, Shandong, 271000, P.R. CHINA
e-mail: arween@yahoo.com.cn
$^{3}$College of Mathematics and Computational Science
China University of Petroleum (East China)
Qingdao, Shandong, 257061, P.R. CHINA
e-mail: ggxpzyh@163.com


Abstract.In this note, the stability issues of one class of first-order impulsive functional systems in a Banach space are addressed. Sufficient conditions are presented for stability using comparison principle and inequality analysis. An example is provided to illustrate the theory.

Received: September 6, 2006

AMS Subject Classification: 93D99

Key Words and Phrases: impulsive system, stability, time-varying system

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 34
Issue: 4