Stabilization for Solutions of Plate Equation with Time-Varying Delay and Weak-Viscoelasticity in Rⁿ

This article considers a dynamical system with delay described by a differential equation with partial derivatives of hyperbolic type and delay with respect to a time variable. We establish in Theorem 3.1 the k(t) -stability of weak solution under suitable initial conditions in \(R^n, n>4\) by introducing appropriate Lyapunov functions.