Fall 2022 Optimal stability for a viscoelastic neutral differential problem
Jamilu Hashim Hassan, Nasser-eddine Tatar
J. Integral Equations Applications 34(3): 335-348 (Fall 2022). DOI: 10.1216/jie.2022.34.335

Abstract

We investigate the asymptotic behavior of a viscoelastic neutral differential equation. A stability with an explicit decay result of the energy associated to the problem is established. It is found that the energy decay rate is optimal, in the sense that, it is the same as that of the relaxation function.

Citation

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Jamilu Hashim Hassan. Nasser-eddine Tatar. "Optimal stability for a viscoelastic neutral differential problem." J. Integral Equations Applications 34 (3) 335 - 348, Fall 2022. https://doi.org/10.1216/jie.2022.34.335

Information

Received: 26 November 2020; Revised: 27 July 2021; Accepted: 2 August 2021; Published: Fall 2022
First available in Project Euclid: 2 December 2022

MathSciNet: MR4516953
zbMATH: 1507.35311
Digital Object Identifier: 10.1216/jie.2022.34.335

Subjects:
Primary: 34K40 , 35L05 , 35L15

Keywords: neutral delay , optimal stability , viscoelastic equation

Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium

Vol.34 • No. 3 • Fall 2022
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