General stability of a viscoelastic variable coefficients plate equation with time-varying delay in localized nonlinear internal feedback

This paper is concerned with the decay properties of a memory-type Euler-Bernoulli plate equation with variable coefficients and time-varying delay in localized nonlinear internal feedback. By using piecewise multiplier method and Riemannian geometric analysis, we establish the explicit and general decay rates of system whose nonlinear internal feedbacks act on a suitable subregion.