Stability Results for a System of Nonlinear Viscoelastic Plate Equations with Nonlinear Frictional Damping and Logarithmic Source Terms

In this paper, we consider a system of nonlinear viscoelastic plate equations with nonlinear frictional damping and logarithmic source terms and investigate the interaction between a viscoelastic damping and a nonlinear frictional damping. Under general assumptions on the relaxation function and the nonlinear feedback, we establish explicit formulae for the energy decay rates of this system. Our results substantially improve some earlier related results in the literature.