IJPAM: Volume 30, No. 4 (2006)
ON UNIFORM ASYMPTOTIC STABILITY OF LINEAR
IMPULSIVE DIFFERENTIAL SYSTEMS WITH DELAY
IMPULSIVE DIFFERENTIAL SYSTEMS WITH DELAY
J.O. Alzabut
Department of Mathematics and Computer Science
University of Çankaya
Ankara, 06530, TURKEY
e-mail: jehad@cankaya.edu.tr
Department of Mathematics and Computer Science
University of Çankaya
Ankara, 06530, TURKEY
e-mail: jehad@cankaya.edu.tr
Abstract.In this paper, it is shown that if a linear impulsive differential system with delay satisfies Perron condition then its trivial solution is uniformly asymptotically stable.
Received: June 29, 2006
AMS Subject Classification: 34A37, 34K20
Key Words and Phrases: Perron, impulse, delay, adjoint, uniform asymptotic stability
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 30
Issue: 4
