General decay rate for weak viscoelastic wave equation with Balakrishnan–Taylor damping and time-varying delay

2019 ◽  
Vol 78 (8) ◽  
pp. 2632-2640 ◽  
Author(s):  
Jianghao Hao ◽  
Fei Wang
Keyword(s):  
Wave Equation ◽  
Decay Rate ◽  
General Decay ◽  
Time Varying ◽  
General Decay Rate ◽  
Time Varying Delay ◽  
Viscoelastic Wave Equation ◽  
Viscoelastic Wave ◽  
Varying Delay

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

Filomat ◽  
2019 ◽  
Vol 33 (3) ◽  
pp. 961-970
Author(s):  
Salah Zitouni ◽  
Khaled Zennir ◽  
Lamine Bouzettouta
Keyword(s):  
Wave Equation ◽  
Relaxation Function ◽  
Time Varying ◽  
Delay Term ◽  
Time Varying Delay ◽  
Viscoelastic Wave Equation ◽  
Viscoelastic Wave ◽  
Linear Viscoelastic ◽  
Energy Perturbation ◽  
Varying Delay

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].

General decay results for a viscoelastic wave equation with a variable exponent nonlinearity

2021 ◽  
pp. 1-24
Author(s):  
Jamilu Hashim Hassan ◽  
Salim A. Messaoudi
Keyword(s):  
Wave Equation ◽  
Decay Rate ◽  
Relaxation Function ◽  
Variable Exponent ◽  
General Decay ◽  
Viscoelastic Wave Equation ◽  
Frictional Damping ◽  
Viscoelastic Wave

In this paper we consider a viscoelastic wave equation with a very general relaxation function and nonlinear frictional damping of variable-exponent type. We give explicit and general decay results for the energy of the system depending on the decay rate of the relaxation function and the nature of the variable-exponent nonlinearity. Our results extend the existing results in the literature to the case of nonlinear frictional damping of variable-exponent type.

Sign in / Sign up

Export Citation Format

Share Document