Existence and uniform decay of the wave equation with nonlinear boundary damping and boundary memory source term

We consider the nonlinear model of the wave equation y(tt) - Deltay + f(0) (dely) = 0 subject to the following nonlinear boundary conditions partial derivativey/partial derivativenu + g(y(t)) = F-o(t) h(t - tau)f1(y(tau)) dtau. We show existence of solutions by means of Faedo-Galerkin method and the uniform decay is obtained by using the multiplier technique.