Abstract and Applied Analysis

Quasi-Hyperbolicity and Delay Semigroups

Shard Rastogi and Sachi Srivastava

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2016 (2016), Article ID 1984874, 6 pages.

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

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1481943741

Digital Object Identifier
doi:10.1155/2016/1984874

Mathematical Reviews number (MathSciNet)
MR3568646

Zentralblatt MATH identifier
06929349

Citation

Rastogi, Shard; Srivastava, Sachi. Quasi-Hyperbolicity and Delay Semigroups. Abstr. Appl. Anal. 2016 (2016), Article ID 1984874, 6 pages. doi:10.1155/2016/1984874. https://projecteuclid.org/euclid.aaa/1481943741


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