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Exponential dichotomy of strongly discontinuous semigroups

Published online by Cambridge University Press:  17 April 2009

P. Preda  and
M. Megan
P. Preda
Affiliation:
University of Timisoara, Department of Mathematics, Bul. V. Pârvan nr. 4, 1900 – Timisoara, RS Romania.
M. Megan
Affiliation:
University of Timisoara, Department of Mathematics, Bul. V. Pârvan nr. 4, 1900 – Timisoara, RS Romania.
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Abstract

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In this paper we give necessary and sufficient conditions for exponential dichotomy of a general class of strongly continuous semigroups of operators defined on a Banach space. As a particular case we obtain a Datko theorem for exponential stability of a strongly continuous semigroup of class C0 defined on a Banach space.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 30 , Issue 3 , December 1984 , pp. 435 - 448
Copyright
Copyright © Australian Mathematical Society 1984

References

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