Upper semicontinuity of random attractors of stochastic discrete complex Ginzburg–Landau equations with time-varying delays in the delay

Abstract

A system of stochastic discrete complex Ginzburg–Landau equations with time-varying delays is considered. We first prove the existence and uniqueness of random attractor for these equations. Then, we analyze the convergence properties of the solutions as well as the attractors as the length of time delay approaches zero.