[1]胡华.奇异线性随机微分方程的几个结果[J].江西师范大学学报(自然科学版),2015,(04):345-350.
　HU Hua.The Several Results of Singular Linear Stochastic Differential Equations[J].Journal of Jiangxi Normal University:Natural Science Edition,2015,(04):345-350.
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奇异线性随机微分方程的几个结果()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2015年04期
页码:
345-350
栏目:
出版日期:
2015-07-01

文章信息/Info

Title:
The Several Results of Singular Linear Stochastic Differential Equations
作者:
胡华
宁夏大学数学计算机学院,宁夏 银川,750021
Author(s):
HU Hua
关键词:
随机微分方程; Volterra变换; 布朗运动; 扩张滤过; Goursat内核; 自再生核
Keywords:
stochastic differential equations; Volterra transform; Brownian motion; enlargement of filtrations; Gour-sat kernels; self-reproducing kernels
分类号:
O211.6
文献标志码:
A
摘要:
研究了1类带有Goursat型核函数保留了维纳测度的Volterra变换，这类核函数满足自再生性。给出了几个能引起新的自再生性的相关Gram矩阵逆的结果，以及它与经典自再生性的联系。结果被应用于1类带相应滤过分解的奇异线性随机微分方程研究，研究的方程被看作是一些广义桥的非标准分解。
Abstract:
The type with Goursat kernel function retained the Wiener measure on the Volterra transformation is stud-ied. This kind of kernel function satisfy a self-reproduction property. Some results on the inverses of the associated Gramian matrices which lead to a new self-reproduction property are provided. And it links with the classical repro-duction property. The result is applied to a class of singular linear stochastic differential equation with corresponding filter decomposition’s study. The equation is regarded as some non-standard decomposition of generalized bridges.

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备注/Memo

备注/Memo:
国家自然科学基金(11361044)
更新日期/Last Update: 1900-01-01