ZERDOUMI, Nabila2024-10-182024-10-182024-06-09http//localhost:8080/jspui/handle/123456789/12124The 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.enCoupled wave equation, delay term, Kelvin-Voigt damping, strong stability, polynomial stability, frequency domain approach.Thesis