Decay rate for viscoelastic wave equation of variable coefficients with delay and dynamic boundary conditions

被引：6

作者：

Hao, Jianghao ^{[1
]}

Du, Fangqing ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 01期

关键词：

delay; dynamic boundary conditions; general decay; variable coefficients; viscoelastic wave equation; TIME-VARYING DELAY; ASYMPTOTIC STABILITY; GENERAL DECAY; UNIFORM STABILIZATION; EXPONENTIAL STABILITY; ENERGY DECAY; SYSTEMS; CONTROLLABILITY; EXISTENCE; FEEDBACK;

D O I：

10.1002/mma.6731

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a viscoelastic wave equation of variable coefficients in the presence of past history with nonlinear damping and delay in the internal feedback and dynamic boundary conditions. Under suitable assumptions, we establish an explicit and general decay rate result without imposing restrictive assumption on the behavior of the relaxation function at infinity by Riemannian geometry method and Lyapunov functional method.

引用

页码：284 / 302

页数：19

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