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    Stability result for an abstract delayed evolution equation with arbitrary decay in viscoelasticity
    (Maltepe Üniversitesi, 2019) Chellaoua, Houria; Boukhatem, Yamna
    In this paper, we consider the following second-order abstract semilinear evolution equation with past history and time delay, where A, B and C be a linear operators. F is a nonlinear function satisfying some conditions. Under suitable conditions on initial data and the kernel memory function h, we prove the well-posedness by using the semigroup arguments. The stability result is also established defining a suitable Lyapunov functional for a larger class of kernels. Some applications are also given.