On Regularized Quasi-Semigroups and Evolution Equations | Zendy

Mohammad Janfada | Zendy

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On Regularized Quasi-Semigroups and Evolution Equations

Author(s) -

Mohammad Janfada

Publication year - 2010

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2010/785428

Subject(s) - mathematics , semigroup , banach space , generalization , linear operators , pure mathematics , special classes of semigroups , infinitesimal , generator (circuit theory) , bounded function , algebra over a field , mathematical analysis , power (physics) , physics , quantum mechanics

We introduce the notion of regularized quasi-semigroupof bounded linear operators on Banach spaces and its infinitesimal generator, as a generalization of regularized semigroups ofoperators. 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

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