Journal of Applied Mathematics and Stochastic Analysis 
Volume 7 (1994), Issue 4, Pages 509-523
doi:10.1155/S1048953394000390

Stability and asymptotic stability in impulsive semidynamical systems

Saroop K. Kaul

University of Regina, Department of Mathematics and Statistics, Sask., Regina S4S OA2, Canada

Received 1 October 1993; Revised 1 March 1994

Abstract

In this paper we generalize two results of Lasalle's, the invariance theorem and asymptotic stability theorem of discrete and continuous semidynamical systems, to impulsive semidynamical systems.