Asymptotic Behavior of Stochastic Partly Dissipative Lattice Systems in Weighted Spaces | Zendy

Xiaoying Han | Zendy

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Asymptotic Behavior of Stochastic Partly Dissipative Lattice Systems in Weighted Spaces

Author(s) -

Xiaoying Han

Publication year - 2011

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2011/628459

Subject(s) - dissipative system , mathematics , random dynamical system , random compact set , attractor , lattice (music) , multiplicative function , bounded function , dynamical systems theory , white noise , mathematical analysis , statistical physics , random element , random field , pure mathematics , linear dynamical system , physics , statistics , linear system , quantum mechanics , acoustics

We study stochastic partly dissipative lattice systems with random coupledcoefficients and multiplicative/additive white noise in a weighted space of infinite sequences. We firstshow that these stochastic partly dissipative lattice differential equations generate a random dynamicalsystem. We then establish the existence of a tempered random bounded absorbing set and a globalcompact random attractor for the associated random dynamical system

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