Uniform decay for a viscoelastic wave equation with density and time-varying delay in Rn-Reference-Cited by-同舟云学术

Uniform decay for a viscoelastic wave equation with density and time-varying delay in Rn

Published:2019 Issue:3 Volume:33 Page:961-970
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Zitouni Salah¹,Zennir Khaled²,Bouzettouta Lamine³

Affiliation:

1. Department of Mathematics and Informatics, Univ Souk Ahras, Souk Ahras, Algeria

2. bDepartment of Mathematics, College of Sciences and Arts, Al-Ras, Qassim University, Kingdom of Saudi Arabia + Laboratory LAMAHIS, Department of mathematics, University Août, Skikda, Algeria

3. Department of mathematics, University Août, Skikda, Algeria

Abstract

A linear viscoelastic wave equation with density and a time-varying delay term in the internal feedback is considered. Under suitable assumptions on the relaxation function, we establish a decay result of solution for by using energy perturbation method in the space Rn (n > 2). We extend a recent result in Feng [10].

Publisher

National Library of Serbia

Subject

General Mathematics

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