In this paper, we consider the general energy decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan-Taylor damping with nonlinear delay and acoustic boundary conditions. By introducing suitable energy and Lyapunov functionals, we establish the general decay estimates for the energy, which depends on the behavior of both sigma and g.

In this paper, we consider the following wave equation with time-varying delay and acoustic boundary conditions in a bounded domain. By virtue of Galerkin method, we prove the existence and uniqueness of global solution under some general assumptions for the above equation. And the existence of a compact global attractor is proved.