This article is cited in 21 papers

Stabilization for solutions of plate equation with time-varying delay and weak-viscoelasticity in $\mathbb{R}^n$

Kh. Zennir

Qassim University, Saudi Arabia, Qassim, 51452, Saudi Arabia

Abstract: We consider 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 an appropriate Lyapunov functions.

Keywords: plate equation, weak-viscoelastic, variable delay, energy decay, weighted space, density.

UDC: 517

Received: 16.11.2019
Revised: 19.05.2020
Accepted: 29.06.2020

DOI: 10.26907/0021-3446-2020-9-25-38

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2020, 64:9, 21–33

Bibliographic databases:

• 
•