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ArticleOriginal scientific text

Title

On the exponential stability and dichotomy of C0-semigroups

Authors 1

Affiliations

  1. Department of Mathematics, Ohio University, Athens, Ohio 45701, U.S.A.

Abstract

A characterization of exponentially dichotomic and exponentially stable C0-semigroups in terms of solutions of an operator equation of Lyapunov type is presented. As a corollary a new and shorter proof of van Neerven's recent characterization of exponential stability in terms of boundedness of convolutions of a semigroup with almost periodic functions is given.

Bibliography

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Studia Mathematica
1999/132/2
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Pages:
141-149
Main language of publication
English
Received
1997-12-15
Accepted
1998-06-01
Published
1999
Exact and natural sciences