Chellaoua, HouriaBoukhatem, Yamna2024-07-122024-07-122019Chellaoua, H. ve Boukhatem, Y. (2019). Stability result for an abstract delayed evolution equation with arbitrary decay in viscoelasticity. International Conference of Mathematical Sciences (ICMS 2019). s. 182.978-605-2124-29-1https://hdl.handle.net/20.500.12415/2172In 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.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessAbstract evolution equationPast historyTime delayArticle183182