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General decay for a viscoelastic wave equation with dynamic boundary conditions and a time-varying delay (1505.07060v6)
Published 25 May 2015 in math.AP, math-ph, and math.MP
Abstract: The goal of this paper is to study a nonlinear viscoelastic wave equation with strong damping, time-varying delay and dynamical boundary condition. By introducing suitable energy and Lyapunov functionals, under suitable assumptions, we then prove a general decay result of the energy, from which the usual exponential and polynomial decay rates are only special cases.