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

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 semi-group 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.

کلیدواژه ها:

Energy decay ، global existence ، Lyapunov functional ، time delay