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
Main Authors: Shard Rastogi, Sachi Srivastava
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2016/1984874