[1]姚村,林峰.二阶矩随机Hilbert边值问题[J].华侨大学学报(自然科学版),2011,32(6):714-717.[doi:10.11830/ISSN.1000-5013.2011.06.0714]
　YAO Cun,LIN Feng.Random Hilbert Boundary Value Problem with Second Order Moment[J].Journal of Huaqiao University(Natural Science),2011,32(6):714-717.[doi:10.11830/ISSN.1000-5013.2011.06.0714]
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二阶矩随机Hilbert边值问题()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第32卷
期数:
2011年第6期
页码:
714-717
栏目:
出版日期:
2011-11-20

文章信息/Info

Title:
Random Hilbert Boundary Value Problem with Second Order Moment
文章编号:
1000-5013(2011)06-0714-04
作者:
姚村; 林峰
华侨大学数学科学学院
Author(s):
YAO Cun;  LIN Feng
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
边值问题;  Hilbert问题;  Riemann问题;  二阶矩;  对称扩张;  随机过程
Keywords:
boundary value problem;  Hilbert problem;  Riemann problem;  second order moment;  symetrical expansion;  random process
分类号:
O175.8
DOI:
10.11830/ISSN.1000-5013.2011.06.0714
文献标志码:
A
摘要:
通过对称扩张的方法,把二阶矩随机Hilbert边值问题转化为二阶矩随机Riemann边值问题,最终求解二阶矩随机Hilbert边值问题.
Abstract:
In order to solve the random Hilbert boundary value problem of random process with second order moment,we convert it into randon Riemann boundary value problem by the method of symetrical expansion,and get its solution.

参考文献/References:

[1] WANG Chuan-rong. Random singular integral of random process with second order moment [J]. Acta Mathematica Scientia, 2005(2):376-384.
[2] WANG Chuan-rong. Random singular integral and its application [M]. New Jersey:World Scientific Publishing Company, 2000.191-197.
[3] 林峰. Beurling-Ahlfors扩张的伸张函数的边界极限 [J]. 华侨大学学报(自然科学版), 2004(4):352-355.doi:10.3969/j.issn.1000-5013.2004.04.004.
[4] 武宝亭, 李庆生, 杨跃武. 随机过程与随机微分方程 [M]. 北京:电子工业出版社, 1994.
[5] 路见可. 解析函数边值问题 [M]. 武汉:武汉大学出版社, 2004.

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备注/Memo

备注/Memo:
福建省自然科学基金资助项目(2007J0183)
更新日期/Last Update: 2014-03-23