On Regularized Quasi-Semigroups and Evolution Equations

M. Janfada

doi:10.1155/2010/785428

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Home > Journals > Abstr. Appl. Anal. > Volume 2010 > Article

2010 On Regularized Quasi-Semigroups and Evolution Equations

M. Janfada

Abstr. Appl. Anal. 2010: 1-13 (2010). DOI: 10.1155/2010/785428

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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.