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2016 Quasi-Hyperbolicity and Delay Semigroups
Shard Rastogi, Sachi Srivastava
Abstr. Appl. Anal. 2016: 1-6 (2016). DOI: 10.1155/2016/1984874


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.


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Shard Rastogi. Sachi Srivastava. "Quasi-Hyperbolicity and Delay Semigroups." Abstr. Appl. Anal. 2016 1 - 6, 2016.


Received: 1 June 2016; Accepted: 28 September 2016; Published: 2016
First available in Project Euclid: 17 December 2016

zbMATH: 06929349
MathSciNet: MR3568646
Digital Object Identifier: 10.1155/2016/1984874

Rights: Copyright © 2016 Hindawi

Vol.2016 • 2016
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