Random attractor for stochastic second-order non-autonomous stochastic lattice equations with dispersive term |
| |
Authors: | Xiaolin Xiang |
| |
Institution: | 1. Department of Mathematics, Zhejiang Normal University, Jinhua, P. R. China;2. Business School, Sichuan University, Chengdu, P. R. China |
| |
Abstract: | In this paper, we consider the asymptotic behaviour of solutions to second-order non-autonomous stochastic lattice equations with dispersive term and additive white noises in the space of infinite sequences. We first transfer the stochastic lattice equations into random lattice equations, and prove the existence and uniqueness of solutions that generate a random dynamical system. Second, we prove the existence of a tempered random absorbing set and a random attractor for the system. Finally, we establish the upper semi-continuity of the random attractors as the coefficient of the white noise term tends to zero. |
| |
Keywords: | random attractor stochastic second-order lattice system dispersive term space of infinite sequences upper semi-continuity additive white noise |
|
|