Coupled Lamé System with a Viscoelastic Term and a Strong Discrete Time Delays

Abstract

In this paper, we consider a coupled Lamé system with a viscoelastic damping in the first equation and two strong discrete time delays. We prove its existence by using the Faedo-Galerkin method and establish an exponential decay result by introducing a suitable Lyapunov functional.

Keywords

Lamé system / coupled system / Lyapunov function / delay term