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On the stability of asymptotic properties of perturbed C 0 -semigroups

On the stability of asymptotic properties of perturbed C 0 -semigroups We give conditions on a strongly continuous semigroup 𝒯 and an unbounded perturbation B in the class of Miyadera-Voigt such that the perturbed semigroup 𝒮 inherits asymptotic properties of 𝒯 as boundedness, asymptotic almost periodicity, uniform ergodicity and total uniform ergodicity. A systematic application of the abstract result to partial differential equations with delay is made. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

On the stability of asymptotic properties of perturbed C 0 -semigroups

Forum Mathematicum , Volume 13 (1) – Jan 1, 2001

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References (17)

Publisher
de Gruyter
Copyright
© de Gruyter 2001
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/FORM.2001.91
Publisher site
See Article on Publisher Site

Abstract

We give conditions on a strongly continuous semigroup 𝒯 and an unbounded perturbation B in the class of Miyadera-Voigt such that the perturbed semigroup 𝒮 inherits asymptotic properties of 𝒯 as boundedness, asymptotic almost periodicity, uniform ergodicity and total uniform ergodicity. A systematic application of the abstract result to partial differential equations with delay is made.

Journal

Forum Mathematicumde Gruyter

Published: Jan 1, 2001

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