scholarly journals Exponential growth of solution with \(L_{p}\) -norm for class of non-linear viscoelastic wave equation with distributed delay term for large initial data

2020 ◽  
Vol 4 (1) ◽  
pp. 76-83
Author(s):  
Abdelbaki Choucha ◽  
◽  
Djamel Ouchenane ◽  
Khaled Zennir ◽  
◽  
...  
Keyword(s):  
Wave Equation ◽  
Initial Data ◽  
Exponential Growth ◽  
Distributed Delay ◽  
Large Initial Data ◽  
Delay Term ◽  
Viscoelastic Wave Equation ◽  
Viscoelastic Wave ◽  
Non Linear ◽  
Linear Viscoelastic

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].

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