Stabilization for Solutions of Plate Equation with Time-Varying Delay and Weak-Viscoelasticity in $\mathbb{R}^n$
Khaled Zennir
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.
Topics & Concepts
MathematicsVariable (mathematics)ViscoelasticityDelay differential equationType (biology)Mathematical analysisStability (learning theory)Differential equationPartial differential equationPure mathematicsApplied mathematicsPhysicsComputer scienceMachine learningThermodynamicsEcologyBiologyStability and Controllability of Differential EquationsAdvanced Mathematical Modeling in EngineeringAdvanced Mathematical Physics Problems