New general decay results in an infinite memory viscoelastic problem with nonlinear damping

Abstract This work is concerned with a viscoelastic equation with a nonlinear frictional damping and a relaxation function satisfying g′(t)≤−ξ(t)gp(t),t≥0,1≤p<32 $g^{\prime }(t) \le -\xi (t) g^{p}(t), t \ge 0, 1\le p<\frac{3}{2}$. We establish general decay rate results using the multiplier me...

Full description

Bibliographic Details
Main Authors: Adel M. Al-Mahdi, Mohammad M. Al-Gharabli
Format: Article
Language:English
Published: SpringerOpen 2019-08-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-019-1253-6