Dynamic Properties of a Nonlinear Viscoelastic Kirchhoff Problem

Abstract

In this thesis , we study the dynamic proprieties of a nonlinear viscoelastic Kirchhoff-type equation with initial conditions and acoustic boundary conditions (see [29]). We show that , the energy of the solution decays exponentially or polynomially. Our approach is based on integral inequalities and multiplier techniques. Instead of using a Lyapunov-type technique for some perturbed energy .