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Öğe Well-posedness and exponential stability for the logarithmic Lamé system with a time delay(Taylor and Francis Ltd., 2023) Yüksekkaya, Hazal; Pişkin, Erhan; Kafini, Mohammad M.; Al-Mahdi, Adel M.This paper is concerned with the initial-boundary value problem for a log-arithmic Lamé system with a time delay in a bounded domain. We provethe well-posedness of the system by utilizing the semigroup theory. Then,we prove the existence of global solutions by using the well-depth method.In addition, we establish an exponential stability decay result under appro-priate assumptions on the weight of the time delay and that of frictional damping.