TY - JOUR T1 - Coupled Lamé System with a Viscoelastic Term and a Strong Discrete Time Delays AU - Beniani , Abderrahmane JO - Journal of Partial Differential Equations VL - 2 SP - 121 EP - 134 PY - 2024 DA - 2024/06 SN - 37 DO - http://doi.org/10.4208/jpde.v37.n2.1 UR - https://global-sci.org/intro/article_detail/jpde/23204.html KW - Lamé system, coupled system, Lyapunov function, delay term. AB -

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.