Asymptotic Behavior of Stochastic Partly Dissipative Lattice Systems in Weighted Spaces

Xiaoying Han

International Journal of Differential Equations, 2011, vol. 2011, 1-23

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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:628459

DOI: 10.1155/2011/628459

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