Liu, Kai
(2017)
Norm continuity of solution semigroups of a class of neutral functional differential equations with distributed delay.
APPLIED MATHEMATICS LETTERS, 69.
pp. 35-41.
Text
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Abstract
In this note, we shall consider the norm continuity of a class of solution semigroups associated with linear functional differential equations of neutral type with time lag r>0 in Hilbert spaces. The norm continuity plays an important role in the analysis of asymptotic stability of the system under consideration by means of spectrum approaches. We shall show that for a square integrable neutral delay term and an unbounded infinitesimal generator A multiplied by a square integrable weight function in the distributed delay term, the associated solution semigroup of the system is norm continuous at every t>r.
Item Type: | Article |
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Additional Information: | publisher: Elsevier articletitle: Norm continuity of solution semigroups of a class of neutral functional differential equations with distributed delay journaltitle: Applied Mathematics Letters articlelink: http://dx.doi.org/10.1016/j.aml.2017.01.010 content_type: article copyright: Crown Copyright © 2017 Published by Elsevier Ltd. All rights reserved. |
Uncontrolled Keywords: | Semigroup, Norm continuity of C-o-semigroup, Functional differential equation of neutral type |
Depositing User: | Symplectic Admin |
Date Deposited: | 30 Mar 2017 11:25 |
Last Modified: | 19 Jan 2023 07:07 |
DOI: | 10.1016/j.aml.2017.01.010 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3006723 |