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November  2016, 15(6): 2221-2245. doi: 10.3934/cpaa.2016035

## Existence and upper semicontinuity of attractors for non-autonomous stochastic lattice systems with random coupled coefficients

 1 School of Mathematical Science, Huaiyin Normal University, Huaian 223300, China 2 Department of Mathematics, Zhejiang Normal University, Jinhua, 321004

Received  January 2016 Revised  June 2016 Published  September 2016

In this paper, we consider the existence of random attractors in a weighted space $l_\rho ^2$ for first-order non-autonomous stochastic lattice system with random coupled coefficients and multiplicative/additive white noise, and establish the upper semicontinuity of random attractors as the intensity of noise approaches zero.
Citation: Zhaojuan Wang, Shengfan Zhou. Existence and upper semicontinuity of attractors for non-autonomous stochastic lattice systems with random coupled coefficients. Communications on Pure & Applied Analysis, 2016, 15 (6) : 2221-2245. doi: 10.3934/cpaa.2016035
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