A class of singularly perturbed evolution systems. (1994)

• Record Type: Journal Article
• Authors: Ahmed, N. U.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 7:Number 2(1994)
• Page Start: 179
• Page End: 190
• Publication Date: 1994
• Subjects: semigroups -- singular perturbation -- evolution equations -- nonexpansive maps -- existence -- periodic solutions; 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/S1048953394000183
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : In this paper we study a class of evolution equations where the semigroup generators are singularly perturbed by a nonnegative real valued function of time. Sufficient conditions for existence of evolution operators and their compactness are given including continuous dependence on the perturbation. Further, for a coupled system of singularly perturbed semilinear systems in two Banach spaces, existence of periodic solutions and their stability are studied.