Stability and attractivity of solutions of differential equations with impulses at fixed times. (2000)

• Record Type: Journal Article
• Authors: Sivasundaram, S.; Vassilyev, S.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 13:Number 1(2000)
• Page Start: 77
• Page End: 84
• Publication Date: 2000
• Subjects: stability -- attractivity -- impulse -- differential equations -- Lyapunov functions -- comparison methods; 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/S1048953300000083
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : 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.