Abstract
We study stochastic partly dissipative lattice systems with random coupled coefficients and multiplicative/additive white noise in a weighted space of infinite sequences. We first show that these stochastic partly dissipative lattice differential equations generate a random dynamical system. We then establish the existence of a tempered random bounded absorbing set and a global compact random attractor for the associated random dynamical system.
Citation
Xiaoying Han. "Asymptotic Behavior of Stochastic Partly Dissipative Lattice Systems in Weighted Spaces." Int. J. Differ. Equ. 2011 1 - 23, 2011. https://doi.org/10.1155/2011/628459
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