Asymptotic stability of a viscoelastic problem with time-varying delay in boundary feedback
-
Published:2021
Issue:1
Volume:48
Page:67-88
-
ISSN:1450-5584
-
Container-title:Theoretical and Applied Mechanics
-
language:en
-
Short-container-title:Theor appl mech (Belgr)
Affiliation:
1. Laboratory of Pure and Applied Mathematics, University of Laghouat, Laghouat, Algeria
Abstract
In this paper, we investigate a nonlinear viscoelastic equation. By assuming time-varying delay feedback acting on the boundary, under certain assumptions on the given data, the general decay estimates for the energy are established by introducing suitable Lyapunov functionals. This model improves earlier ones in the literature in which only the dissipative term in the feedback condition is considered.
Publisher
National Library of Serbia
Subject
Applied Mathematics,Mechanical Engineering,Computational Mechanics