Dynamics of Plate Equation with Variable Delay on \(\boldsymbol{\mathbb{R}}^{\boldsymbol{n}}\)

The dynamics of solutions for the plate equation without delay effects has been investigated by many authors. But there are few works on plate equation with variable delay on unbounded domain. Therefore, we firstly consider the existence of pullback attractor for the plate equation with variable delay on \(\mathbb{R}^{n}\) by using the theory of multivalued dynamical system.