学术
Clifford分析中一类广义k-正则函数的Riemann边值问题和Riemann边值逆问题
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张斌儒[1] 曾伟[2] 杨富燕[3]
[1]四川文理学院数学与财经系,四川达州635000 [2]四川师范大学数学与软件科学学院,四川成都610066 [3]四川省南江县二中,四川南江635600
国际标准刊号：ISSN 1671-8747
国内统一刊号：CN 46-1062
摘 要:
讨论了Clifford分析中一类广义k-正则函数的Riemann边值问题和Riemann边值逆问题．首先提出了广义k-正则函数的概念．获得了Plemelj公式并讨论了它的一些性质；然后运用积分方程的方法得到了上述问题的可解性结论．[著者文摘]
文章出处:
《海南师范学院学报：自然科学版》-2007年20卷4期 -294-298页
Journal of Hainan Normal University:Natural Science
分 类 号:
文献标识码:
A
文章编号:
1671-8747（2007）04-0294-05
[参考文献]
A Riemann boundary value problem and its inverse problems for a class of generalized k-regular functions in Clifford analysis
Zhang Binru, Zeng Wei, Yang Fuyan （1. Department of Mathematics and Finance, Sichuan Institute of Arts and Science ,Dazhou 635000,China; 2. College of Mathematics and Software Science ,Sichuan Normal University , Che ngdu 610066, China; 3. No.2 Nanjiang Middle Sc hool , Nanjiang 635600, China）
Abstract:
In this paper, we discussed a Riemann boundary value problem and its inverse problems for a class of generalized k-regular functions in Clifford analysis. Firstly we obtained the Plemelj＇s formula, and then considered the Riemann boundary value problem and its inverse problems and proved the existence of solution for the above problems by applying the method of integral equations .[著者文摘]
Key words:
Clifford analysis; generalized k-regular; Plemelj＇s formula; Riemann boundary value problems; inverse Riemann boundary value problems
收稿日期: 2007-01-08
基金资助:
四川省教育厅重点科研基金资助项目
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