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

共 50 条

[41] ENERGY DECAY FOR A VISCOELASTIC EQUATION WITH BALAKRISHNAN-TAYLOR DAMPING INVOLVING INFINITE MEMORY AND NONLINEAR TIME-VARYING DELAY TERMS IN DYNAMICAL BOUNDARY
Benkouider, Soufiane
Rahmoune, Abita
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 38 (03): : 943 - 966
[42] Boundary Stabilization of a Nonlinear Viscoelastic Equation with Interior Time-Varying Delay and Nonlinear Dissipative Boundary Feedback
Zhang, Zaiyun
Huang, Jianhua
Liu, Zhenhai
Sun, Mingbao
ABSTRACT AND APPLIED ANALYSIS, 2014,
[43] Stabilization of a Semilinear Wave Equation With Time-Dependent Variable Coefficients and a Time Varying Delay on the Viscoelastic Boundary
Li, Sheng-Jie
Chai, Shugen
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025, 48 (05) : 6110 - 6130
[44] Viscoelastic versus frictional dissipation in a variable coefficients plate system with time-varying delay
Wang, Peipei
Hao, Jianghao
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 70 (05):
[45] Exponential Decay for a Time-Varying Coefficients Wave Equation with Dynamic Boundary Conditions
Hao, Jianghao
Du, Fangqing
JOURNAL OF GEOMETRIC ANALYSIS, 2024, 34 (05)
[46] ASYMPTOTIC STABILITY OF A VISCOELASTIC PROBLEM WITH TIME-VARYING DELAY IN BOUNDARY FEEDBACK
Rahmoune, Abita
THEORETICAL AND APPLIED MECHANICS, 2021, 48 (01) : 67 - 88
[47] Optimal energy decay for a viscoelastic Kirchhoff equation with distributed delay acting on nonlinear frictional damping
Mohammed, Aili
Khemmoudj, Ammar
INTERNATIONAL JOURNAL OF CONTROL, 2024, 97 (07) : 1612 - 1626
[48] ENERGY DECAY OF SOLUTIONS FOR THE WAVE EQUATION WITH A TIME-VARYING DELAY TERM IN THE WEAKLY NONLINEAR INTERNAL FEEDBACKS
Mohamed, Ferhat
Ali, Hakem
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 22 (02): : 491 - 506
[49] Stability result of a suspension bridge Problem with time-varying delay and time-varying weight
Mukiawa, Soh Edwin
ARABIAN JOURNAL OF MATHEMATICS, 2021, 10 (03) : 659 - 668
[50] A general decay criterion for a viscoelastic equation with nonlinear distributed delay and damping effects
Feng, Baowei
Park, Sun-Hye
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (17) : 17910 - 17926

← 1 2 3 4 5 →