ASYMPTOTIC STABILITY FOR A VISCOELASTIC EQUATION WITH THE TIME-VARYING DELAY-Reference-Cited by-同舟云学术

ASYMPTOTIC STABILITY FOR A VISCOELASTIC EQUATION WITH THE TIME-VARYING DELAY

Published:2023-01-19 Issue:1 Volume:28 Page:23-41
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Liao Menglan¹^ORCID,Tan Zhong²

Affiliation:

1. College of Science, Hohai University Nanjing, 210098 Jiangsu, China; School of Mathematical Sciences, Xiamen University Xiamen, 361005 Fujian, China

2. School of Mathematical Sciences, Xiamen University Xiamen, 361005 Fujian, China; Shenzhen Research Institute of Xiamen University, Guangdong, 518057 Shenzhen, China

Abstract

The goal of the present paper is to study the viscoelastic wave equation with the time-varying delay under initial-boundary value conditions. By using the multiplier method together with some properties of the convex functions, the explicit and general stability results of the total energy are proved under the general assumption on the relaxation function g.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

Reference23 articles.

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