On regularized quasi-semigroups and evolution equations (Q1957593)

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scientific article; zbMATH DE number 5791636
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On regularized quasi-semigroups and evolution equations
scientific article; zbMATH DE number 5791636

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    On regularized quasi-semigroups and evolution equations (English)
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    27 September 2010
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    Summary: 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 is studied. Also, some applications of regularized quasi-semigroups to abstract evolution equations are considered. Next, some elementary perturbation results on regularized quasi-semigroups are discussed.
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    regularised quasi-semigroups
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