A class of singularly perturbed evolution systems

N. U. Ahmed

International Journal of Stochastic Analysis, 1994, vol. 7, 1-12

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.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:589753

DOI: 10.1155/S1048953394000183

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