Abstract
We establish a general decay rate for a viscoelastic problem with a nonlinear boundary feedback and a relaxation function satisfying $g'(t) \leq - \xi(t) g^{p}(t)$, $t\geq 0$, $ 1\leq p < 3/2$. This work generalizes and improves earlier results in the literature. In particular those of [5], [11] and [17].
Citation
Salim A. Messaoudi. Waled Al-Khulaifi. "General and optimal decay for a viscoelastic equation with boundary feedback." Topol. Methods Nonlinear Anal. 51 (2) 413 - 427, 2018. https://doi.org/10.12775/TMNA.2017.066