Asymptotic behavior of a laminated beam with nonlinear delay and nonlinear structural damping

Our concern in the present work is a Timoshenko laminated beam system with nonlinear delay and structural damping acting equation describing dynamics of slip. The aim to establish an explicit general energy decay rates solution under suitable assumptions on weight speeds wave propagation. To achieve our desired stability results, we exploit some properties convex functions, coupled multiplier technique, which involves constructing appropriate Lyapunov functional equivalent system.