Stability and Dynamics for Lam System with Degenerate Memory and Time-Varying Delay

For Lame system with degenerate memory and nonlinear time-varying delay with some appropriate assumptions, the global well-posedness and asymptotic stability are obtained by using the variable norm technique of Kato and estimating the energy respectively. Moreover, the finite dimensional global attractor and exponential attractor have been presented by using quasi-stability argument with the construction of a Lyapunov functional. The study of the balance between damping and time-varying delay is given as well.