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Öğe General energy decay estimate for a viscoelastic dampedswelling porous elastic soils with time delay(John Wiley and Sons Ltd., 2023) Yüksekkaya, Hazal; Pişkin, Erhan; al-Mahdi, Adel M.; Kafini, Mohammad M.This paper is concerned with the viscoelastic damped swelling porous elastic soils with time delay. Under more general assumption on the relaxation function and some specific conditions on the weight of the delay, we establish general decay results by using multiplier method and some properties of convex functions. These results generalize and improve some earlier related results in the literature.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.