Exponential stability for a plate equation with p-Laplacian and memory terms

摘要

This paper is concerned with the energy decay for a class of plate equations with memory and lower order perturbation of p-Laplacian type, u _(tt)+δ ~2u-δ _pu+∫ _0 ~tg(t-s)δu(s)ds-δu _t+f(u)=0inω× R ~+, with simply supported boundary condition, where ω is a bounded domain of RN, g > 0 is a memory kernel that decays exponentially and f(u) is a nonlinear perturbation. This kind of problem without the memory term models elastoplastic flows.