scholarly journals Asymptotic Behavior for a Viscoelastic Wave Equation with a Time-varying Delay Term

2016 ◽  
Vol 29 (1) ◽  
pp. 22-35
Author(s):  
Wu Shun Tang
Keyword(s):  
Asymptotic Behavior ◽  
Wave Equation ◽  
Time Varying ◽  
Delay Term ◽  
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].

scholarly journals Global existence and energy decay of solutions for a wave equation with a time-varying delay term

Mathematica ◽  
2021 ◽  
Vol 63 (86) (1) ◽  
pp. 32-46
Author(s):  
Benguessoum Aissa
Keyword(s):  
Wave Equation ◽  
Global Existence ◽  
Existence Of Solutions ◽  
Time Varying ◽  
Rate Estimate ◽  
Delay Term ◽  
Time Varying Delay ◽  
Global Existence Of Solutions ◽  
Decay Of Solutions ◽  
Varying Delay

We consider, in a bounded domain, a certain wave equation with a weak internal time-varying delay term. Under appropriate conditions, we prove global existence of solutions by the Faedo-Galerkin method and establish a decay rate estimate for the energy using the multiplier method.

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