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Generalizations of a Theorem of Datko and Pazy
Authors:Mihail Megan  Alin Pogan
Institution:Department of Mathematics , University of The West , Bul. V. Parvan, Nr. 4, Timi?oara, 1900, Romania
Abstract:This note gives necessary and sufficient conditions for exponential stability of semigroups of linear operators in Banach spaces. Generalizations of a well-known result due to Datko, Pazy and Neerven are obtained for the case of semigroups of operators that are not strongly continuous.
Keywords:Exponential Stability  Semigroups Of Linear Operators  Sequence Spaces  Function Spaces
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