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OALib Journal期刊
ISSN: 2333-9721
费用：99美元
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具有可加噪声的耗散KdV型方程的随机吸引子
, PP. 651-655
Keywords: 随机吸引子,耗散KdV方程,白噪声,随机动力系统,O-U过程
Abstract:
考虑具有可加噪声的耗散KdV型方程在一维有界区域上的渐进行为,主要目的是建立整体吸引子的存在性.首先证明解的存在性和唯一性并得到解的先验估计,然后讨论该系统的随机吸收集的存在性,最后证明整体吸引子在有界确定性集合的范围内存在.
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