Asymptotic Behavior of Stochastic Partly Dissipative Lattice Systems in Weighted Spaces
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...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/628459 |
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| Summary: | 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. |
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| ISSN: | 1687-9643 1687-9651 |