Norm continuity of solution semigroups of a class of neutral functional differential equations with distributed delay



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.

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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
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