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2010 On Regularized Quasi-Semigroups and Evolution Equations
M. Janfada
Abstr. Appl. Anal. 2010: 1-13 (2010). DOI: 10.1155/2010/785428


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.


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M. Janfada. "On Regularized Quasi-Semigroups and Evolution Equations." Abstr. Appl. Anal. 2010 1 - 13, 2010.


Published: 2010
First available in Project Euclid: 1 November 2010

zbMATH: 1206.47039
MathSciNet: MR2660390
Digital Object Identifier: 10.1155/2010/785428

Rights: Copyright © 2010 Hindawi

Vol.2010 • 2010
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