Стабилизация решений уравнения теории пластин с переменным по времени запаздыванием и слабой вязкоупругостью в пространстве Rn

Abstract

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 $\mathbb{R}^n, n>4$ by introducing appropriate Lyapunov functions.