Energy decay rate for a von Karman system with a boundary nonlinear delay term

Abstract

In this paper, we show the energy decay rate for a von Karman system with a boundary nonlinear delay term. This work is devoted to investigate the influence of kernel function g and the effect of the boundary nonlinear term μ1|ut(t)|m−1ut(t), a boundary nonlinear time delay term μ2|ut(t−τ)|m−1ut(t−τ) and prove energy decay rates of solutions when g do not necessarily decay exponentially and the boundary condition has a time delay.