Uniform stability of a strong time-delayed viscoelastic system with Balakrishnan-Taylor damping

被引:1
作者
Li, Haiyan [1 ]
机构
[1] North Minzu Univ, Coll Math & Informat Sci, Yinchuan 750021, Peoples R China
关键词
Stability; Memory; Balakrishnan-Taylor damping; Time delay; ENERGY DECAY-RATES; GENERAL DECAY; WAVE-EQUATION; ASYMPTOTIC STABILITY; GLOBAL EXISTENCE; BOUNDARY; STABILIZATION; TERM;
D O I
10.1186/s13661-023-01749-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper studies a Balakrishnan-Taylor viscoelastic wave equation with strong time-dependent delay. Under suitable assumptions on the coefficients of the delay term, we establish a generalized stability result, which improve some earlier results in the literature.
引用
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页数:16
相关论文
共 42 条
[1]   Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems [J].
Alabau-Boussouira, F .
APPLIED MATHEMATICS AND OPTIMIZATION, 2005, 51 (01) :61-105
[2]   A unified approach via convexity for optimal energy decay rates of finite and infinite dimensional vibrating damped systems with applications to semi-discretized vibrating damped systems [J].
Alabau-Boussouira, Fatiha .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 248 (06) :1473-1517
[3]   A general method for proving sharp energy decay rates for memory-dissipative evolution equations [J].
Alabau-Boussouira, Fatiha ;
Cannarsa, Piermarco .
COMPTES RENDUS MATHEMATIQUE, 2009, 347 (15-16) :867-872
[4]  
[Anonymous], 1991, NASA Conference Publication
[5]  
Balakrishnan A.V., 1989, P DAM 89 FLIGHT DYN
[6]  
Benaissa A, 2014, INT J DYN SYST DIFFE, V5, P1
[7]  
Clark H.R., 2002, Electron. J. Qual. Theory Differ. Equ., P1
[8]   Global existence and exponential decay of the solution for a viscoelastic wave equation with a delay [J].
Dai, Qiuyi ;
Yang, Zhifeng .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2014, 65 (05) :885-903
[9]  
Datko R., 2010, SIAM J CONTROL OPTIM, V48, P5028
[10]   Existence and decay rates for a coupled Balakrishnan-Taylor viscoelastic system with dynamic boundary conditions [J].
Feng, Baowei ;
Soufyane, Abdelaziz .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (06) :3375-3391