Journal of Applied Mathematics and Stochastic Analysis
Volume 4 (1991), Issue 2, Pages 137-146
doi:10.1155/S1048953391000102
Abstract
In this paper, the existence of periodic solutions of impulsive
differential systems is considered. Since the solutions of such a system
are peicewise continuous, it is necessary to introduce piecewise
continuous Lyapunov functions. By means of such functions, together
with the comparison principle, some sufficient conditions for the
existence of periodic solutions of impulsive differential systems are
established.