Uniform Decay for a Viscoelastic Wave Equation with Density and Time-Varying Delay in Rn

被引：10

作者：

Zitouni, Salah ^{[4
]}

Zennir, Khaled ^{[2
,3
]}

Bouzettouta, Lamine ^{[1
]}

机构：

[1] Univ 20 Aout 1955 Skikda, Dept Math, Skikda 21000, Algeria

[2] Qassim Univ, Coll Sci & Arts, Dept Math, Al Ras, Saudi Arabia

[3] Univ 20 Aout 1955 Skikda, Lab LAMAHIS, Dept Math, Skikda 21000, Saudi Arabia

[4] Univ Souk Ahras, Dept Math & Informat, POB 1553, Souk Ahras 41000, Algeria

来源：

FILOMAT | 2019年 / 33卷 / 03期

关键词：

Wave equation; varying delay term; exponential stability; GLOBAL EXISTENCE; BOUNDARY; STABILIZATION; STABILITY; ENERGY; TERM;

D O I：

10.2298/FIL1903961Z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 R-n (n > 2). We extend a recent result in Feng [10].

引用

页码：961 / 970

页数：10

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