  In this paper we consider a multi-dimensional wave equation with dynamic
boundary conditions related to the Kelvin-Voigt damping and a delay term acting
on the boundary. If the weight of the delay term in the feedback is less than
the weight of the term without delay or if it is greater under an assumption
between the damping factor, and the difference of the two weights, we prove the
global existence of the solutions. Under the same assumptions, the exponential
stability of the system is proved using an appropriate Lyapunov functional.
More precisely, we show that even when the weight of the delay is greater than
the weight of the damping in the boundary conditions, the strong damping term
still provides exponential stability for the system.

Analysis of PDEs