@article{Choucha2022, 
author = {Abdelbaki Choucha and Salah Boulaaras and Djamel Ouchenane and Salem Alkhalaf and Rashid Jan},
title = {General decay for a system of viscoelastic wave equation with past history, distributed delay and Balakrishnan-Taylor damping terms},
year = {2022},
journal = {Electronic Research Archive},
volume = {30},
number = {10},
pages = {3902-3929},
keywords = {wave equation, infinite memory, distributed delay term, viscoelastic term, relaxation function},
url = {https://www.sciopen.com/article/10.3934/era.2022199},
doi = {10.3934/era.2022199},
abstract = {The subject of this research is a coupled system of nonlinear viscoelastic wave equations with distributed delay components, infinite memory and Balakrishnan-Taylor damping. Assume the kernels        g          i        :            R              +        →            R              +       holds true the below         g          i        ′    (  t  )  ≤  −      ζ          i        (  t  )      G          i        (      g          i        (  t  )  )  ,    ∀  t  ∈            R              +        ,              f      o      r          i  =  1  ,  2  ,in which        ζ          i       and        G          i       are functions. We demonstrate the stability of the system under this highly generic assumptions on the behaviour of        g    i   at infinity and by dropping the boundedness assumptions in the historical data.}
}