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A class of singularly perturbed evolution systems

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  • N. U. Ahmed

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.

Suggested Citation

  • N. U. Ahmed, 1994. "A class of singularly perturbed evolution systems," International Journal of Stochastic Analysis, Hindawi, vol. 7, pages 1-12, January.
    • Handle: RePEc:hin:jnijsa:589753
    DOI: 10.1155/S1048953394000183
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