@Article{JPDE-36-349,
author = {Peng , Xiaoming and Shang , Yadong},
title = {Asymptotic Stability for a Quasilinear Viscoelastic Equation with Nonlinear Damping and Memory},
journal = {Journal of Partial Differential Equations},
year = {2023},
volume = {36},
number = {4},
pages = {349--364},
abstract = {<p style="text-align: justify;">This paper is concerned with the asymptotic behavior of a quasilinear viscoelastic equation with nonlinear damping and memory. Assuming that the kernel $\mu (s)$ satisfies $$\mu&#39;(s)\le -k_1\mu^m(s), \ 1\le m&lt;\frac{3}{2}$$<span style="text-align: justify; text-wrap: wrap;">&nbsp;</span>we establish the exponential stability result for $m=1$ and the polynomial stability result for $1&lt;m&lt;\frac{3}{2}$.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v36.n4.2},
url = {http://global-sci.org/intro/article_detail/jpde/22133.html}
}