Journal of Applied Mathematics and Stochastic Analysis
Volume 13 (2000), Issue 1, Pages 77-84

Stability and attractivity of solutions of differential equations with impulses at fixed times

S. Sivasundaram1 and S. Vassilyev2

1Embry-Riddle Aeronautical University, Department of Computing and Mathematics, Daytona Beach 32114, FL, USA
2Russian Academy of Sciences, Institute of System Dynamics and Control Theory, Irkutsk 664033, Russia

Received 1 October 1997; Revised 1 February 1999

Copyright © 2000 S. Sivasundaram and S. Vassilyev. 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.


In this paper we consider the dynamics of solutions of impulsive differential equations with fixed time moments of impulsive effects on the basis of comparison methods and vector Lyapunov functions. We propose sufficient conditions on the following dynamic properties: stability, attractivity, and some combinations of them.