General and optimal decay for a viscoelastic equation with boundary feedback
Keywords
General decay, optimal decay, relaxation function, viscoelastic, boundary feedbackAbstract
We establish a general decay rate for a viscoelastic problem with a nonlinear boundary feedback and a relaxation function satisfying $g^{\prime}(t) \leq - \xi(t) g^{p}(t)$, $t\geq0$, $ 1\leq p < {3}/{2}$. This work generalizes and improves earlier results in the literature. In particular those of \cite{Caval5}, \cite{Messaoudi1} and \cite{Messaoudi6}.References
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