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Quasi-Hyperbolicity and Delay Semigroups

We study quasi-hyperbolicity of the delay semigroup associated with the equation u′(t)=Bu(t)+Φut, where ut is the history function and (B,D(B)) is the generator of a quasi-hyperbolic semigroup. We give conditions under which the associated solution semigroup of this equation generates a quasi-hyperb...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2016, Vol.2016 (2016), p.97-102
Main Authors: Rastogi, Shard, Srivastava, Sachi
Format: Article
Language:English
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Summary:We study quasi-hyperbolicity of the delay semigroup associated with the equation u′(t)=Bu(t)+Φut, where ut is the history function and (B,D(B)) is the generator of a quasi-hyperbolic semigroup. We give conditions under which the associated solution semigroup of this equation generates a quasi-hyperbolic semigroup.
ISSN:1085-3375
1687-0409
DOI:10.1155/2016/1984874