On a Class of Stochastic Anderson Models with Fractional Noises

On a Class of Stochastic Anderson Models with Fractional Noises
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DOI:
10.1080/07362990701857095
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发表时间:
2008-03
影响因子:
1.3
通讯作者:
Lijun Bo;Yiming Jiang;Yongjin Wang
Lijun Bo;Yiming Jiang;Yongjin Wang
中科院分区:
数学4区
文献类型:
--
作者:
Lijun Bo;Yiming Jiang;Yongjin Wang

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摘要本文研究了一类带Hurst参数的双参数分数阶噪声的一维四阶随机安德森模型。在适当的Hilbert空间中构造了该模型的唯一解。另一方面,我们将估计了解的李雅普诺夫指数并研究其正则性。
Abstract In this article, we are concerned with a class of one-dimensional fourth order stochastic Anderson models with double-parameter fractional noises with Hurst parameter . The unique solution is constructed for the model in some appropriate Hilbert space. On the other hand, we shall estimate the Lyapunov exponent of the solution and study its regularity.