A nonautonomous delayed viscoelastic wave equation with a linear damping: well-posedness and exponential stability.

Autor: Djemoui, Marwa, Chellaoua, Houria, Boukhatem, Yamna
Předmět:
Zdroj: Journal of Mathematical Modeling (JMM); Jul2024, Vol. 12 Issue 2, p319-336, 18p
Abstrakt: In this paper, we consider a nonautonomous viscoelastic wave equation with linear damping and delayed terms. Under some appropriate assumptions, we prove the global existence using the semigroup theory. Furthermore, for a small enough coefficient of delay, we obtained a stability result via a suitable Lyapunov function where the kernel function decays exponentially [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index