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Asymptotic Behavior of Stochastic Partly Dissipative Lattice Systems in Weighted Spaces

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  • Xiaoying Han

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.

Suggested Citation

  • Xiaoying Han, 2011. "Asymptotic Behavior of Stochastic Partly Dissipative Lattice Systems in Weighted Spaces," International Journal of Differential Equations, Hindawi, vol. 2011, pages 1-23, December.
    • Handle: RePEc:hin:jnijde:628459
    DOI: 10.1155/2011/628459
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