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Applicable Analysis
An International Journal
Volume 81, 2002 - Issue 5
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Original Articles

Generalizations of a Theorem of Datko and Pazy

Mihail Megan Department of Mathematics, University of The West, Bul. V. Pârvan, Nr. 4, Timişoara, 1900, Romania
&
Alin Pogan Department of Mathematics, University of The West, Bul. V. Pârvan, Nr. 4, Timişoara, 1900, Romania
Pages 1085-1090 | Published online: 09 Sep 2010
 
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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.

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