TY - JOUR
T1 - Stability of Viscoelastic Wave Equation with Structural $\delta$-Evolution in $\mathbb{R}^{n}$
AU - Beniani , A.
AU - Zennir , Kh.
AU - Benaissa , Abbes
JO - Analysis in Theory and Applications
VL - 1
SP - 89
EP - 98
PY - 2020
DA - 2020/05
SN - 36
DO - http://doi.org/10.4208/ata.OA-2017-0066
UR - https://global-sci.org/intro/article_detail/ata/16916.html
KW - Viscoelastic wave equation, Fourier transform, Lyapunov functions, Decay rates.
AB - <p style="text-align: justify;">The aim of this paper is to study the Cauchy problem for the viscoelastic wave equation for structural $\delta$-evolution models. By using the energy method in the Fourier spaces, we obtain the decay estimates of the solution to considered problem.</p>