Upper-semicontinuity of attractors for random lattice systems perturbed by small white noises |
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Authors: | Shengfan Zhou |
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Institution: | Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, 321004, PR China |
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Abstract: | In this paper, we first present some conditions for the upper semicontinuity of perturbed random attractors to a limiting random attractor. Then we apply this result to establish the upper semicontinuity of random attractors for the first order stochastic lattice differential equations with random coupled coefficients and multiplicative/additive white noises in the weighted space of infinite sequences as the coefficient of the white noise term tends to zero. |
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Keywords: | 37L55 60H15 35B40 |
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