Stability Results of a Coupled Wave Equations With Time Delay

Abstract

The aim of this work is to give a results related to locally coupled wave equations with non- smooth localized viscoelastic damping of Kelvin-Voigt type and localized time delay

(studied by Mohammad Akil et al[1]). The research aims to study the existence and uniqueness of solutions under appropriate assumptions using semigroup theory. Using a general criterion of Arendt-Batty, we show the strong stability of our system in the absence

of the compactness of the resolvent.