Existence and Upper Semicontinuity of Attractors for Nonautonomous Stochastic Sine-Gordon Lattice Systems with Random Coupled Coefficients

Existence and Upper Semicontinuity of Attractors for Nonautonomous Stochastic Sine-Gordon Lattice Systems with Random Coupled Coefficients
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DOI:
10.1155/2016/7986203
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发表时间:
2016-08
影响因子:
1.4
通讯作者:
Zhaojuan Wang;Shengfan Zhou
Zhaojuan Wang;Shengfan Zhou
中科院分区:
数学4区
文献类型:
--
作者:
Zhaojuan Wang;Shengfan Zhou

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研究了具有随机耦合系数和乘性白噪声的非自治随机正弦戈登格系统。首先考虑该系统在加权空间中随机吸引子的存在性,然后建立了当噪声强度趋近于零时随机吸引子的上半连续性。
We study nonautonomous stochastic sine-Gordon lattice systems with random coupled coefficients and multiplicative white noise. We first consider the existence of random attractors in a weighted space for this system and then establish the upper semicontinuity of random attractors as the intensity of noise approaches zero.