Generalizations of a Theorem of Datko and Pazy

Author: Megan Mihail   Pogan Alin  

Publisher: Taylor & Francis Ltd

ISSN: 0003-6811

Source: Applicable Analysis, Vol.81, Iss.5, 2002-01, pp. : 1085-1090

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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.