On blow up of positive initial energy solution of a nonlinear wave equation with nonlinear source and boundary damping terms

Abstract

In this paper, we consider a nonlinear wave equation having nonlinear source and boundary damping terms and obtain blow up results under certain polynomial growth conditions on y, r, m and p, where the polynomial growth order of the nonlinear functions g and / are p + 1 and to +1 respectively. We obtain the blow up result using the perturbed energy technique.