Uniform Decay Rates Of The Solutions For Nonlinear Viscoelastic Wave Equations

In this paper we consider the initial-boundary problem (2.1.1) of a class of nonlinear viscoelastic wave equation and the nonlinear viscoelastic wave equation with nonlocal boundary damping problem Under weaker assumptions on the functions g, h and f, we prove the energy functionals of (2.1.1) and (3.1.1) decay to zero exponentially or polynomially as the time goes to infinity by introducing brief Lyapunov functions and precise priori estimates.