Existence of periodic solutions of impulsive differential systems. (1991)

• Record Type: Journal Article
• Authors: Erbe, L. H.; Liu, Xinzhi
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 4:Number 2(1991)
• Page Start: 137
• Page End: 146
• Publication Date: 1991
• Subjects: periodic solution -- impulsive differential system -- comparison principle -- Lyapunov function -- Brouwer fixed point theorem; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953391000102
• Languages: English
• ISSNs: 1048-9533

Abstract

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.