| Clifford分析中k正则函数的线性边值问题 |
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| 引用本文： | 汤获,李书海,马丽娜.Clifford分析中k正则函数的线性边值问题[J].吉林大学学报(理学版),2011,49(3):462-464. |
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| 作者姓名： | 汤获 李书海 马丽娜 |
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| 作者单位： | 1. 赤峰学院 数学学院, 内蒙古 赤峰 024000,2. 北京师范大学 数学科学学院, 北京 100875 |
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| 基金项目： | 内蒙古自然科学基金，内蒙古高校科研基金 |
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| 摘 要： | 利用积分方程的方法和压缩映射原理研究Clifford分析中k正则函数的线性边值问题, 证明了解的存在性和唯一性, 得到了解的积分表达式.
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| 关 键 词： | Clifford分析 k正则函数 线性边值问题 |
| 收稿时间： | 2010-04-06 |
Linear Boundary Value Problem for k Regular Functions in Clifford Analysis |
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| TANG Huo,LI Shu-hai,MA Li-na.Linear Boundary Value Problem for k Regular Functions in Clifford Analysis[J].Journal of Jilin University: Sci Ed,2011,49(3):462-464. |
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| Authors: | TANG Huo LI Shu-hai MA Li-na |
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| Institution: | 1. College of Mathematics, Chifeng University, Chifeng 024000, Inner Mongolia Autonomous Region, China;2. School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China |
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| Abstract: | With the help of the theory of integral equation and contact mapping theorem, linear boundary value problem for k regular functions in Clifford analysis was investigated. The existence and uniqueness of the solution to the above problem were proved, and the integral representation of its solution was obtained. |
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| Keywords: | Clifford analysis k regular functions linear boundary value problem |
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