On Regularized Quasi‐Semigroups and Evolution Equations

M. Janfada

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

Abstract: We introduce the notion of regularized quasi‐semigroup of bounded linear operators on Banach spaces and its infinitesimal generator, as a generalization of regularized semigroups of operators. After some examples of such quasi‐semigroups, the properties of this family of operators will be studied. Also some applications of regularized quasi‐semigroups in the abstract evolution equations will be considered. Next some elementary perturbation results on regularized quasi‐semigroups will be discussed.

Date: 2010
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https://doi.org/10.1155/2010/785428

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:785428

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