奇异积分和解析函数边值问题的若干结果与问题  

Some results and a problem on singular integral and boundary value problem of analytic function

作　　者：王传荣[1] 

机构地区：[1]福州大学数学系,福建福州350002

出　　处：《宁夏大学学报（自然科学版）》2003年第3期201-204,共4页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目 ( 10 2 710 98);福建省教育厅自然科学基金资助项目 (JB0 2 0 83)

摘　　要：综述了高阶奇异积分、随机奇异积分、边界曲线摄动的Cauchy型积分与解析函数边值问题的解的稳定性及线性共轭边值问题等一系列研究成果 ,同时还提出一个待解决的问题 .Some research results on boundary value problems of analytic function and singular integral were introduced. The work of the author and his pupils such as high order singular integral, random singular integral, the boundary value problem and singular integral equation with respect to the perturbation of boundary curve linear conjugate boundary value problem etc was also included. We also provide an open problem.

关 键 词：高阶奇异积分 随机奇异积分 CAUCHY型积分 解析函数 边值问题 稳定性 线性共轭边值问题 

分 类 号：O175.8[理学—数学]