| Clifford分析中三正则函数的线性边值问题 |
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| 引用本文： | 汤获. Clifford分析中三正则函数的线性边值问题[J]. 哈尔滨理工大学学报, 2011, 16(1): 124-127 |
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| 作者姓名： | 汤获 |
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| 作者单位： | 赤峰学院,数学学院,内蒙古,赤峰,024000;北京师范大学,数学科学学院,北京,100875 |
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| 基金项目： | 国家自然科学基金项目，内蒙古高等学校科研项目 |
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| 摘 要： | 讨论Clifford分析中三正则函数的两类线性边值问题,运用积分方程的方法和压缩映射原理,得到了该问题A的解的积分表达式,并给出问题A'的另一种解法.
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| 关 键 词： | Clifford分析 三正则函数 线性边值问题 压缩映射原理 |
Linear Boundary Value Problem for 3-regular Functions in Clifford Analysis |
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| TANG Huo. Linear Boundary Value Problem for 3-regular Functions in Clifford Analysis[J]. Journal of Harbin University of Science and Technology, 2011, 16(1): 124-127 |
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| Authors: | TANG Huo |
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| Affiliation: | TANG Huo(1.College of Mathematics,Chifeng University,Chifeng 024000,China,2.School of Mathematics and Science,Beijing Normal University,Beijing 100875,China) |
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| Abstract: | In this paper,two classes of linear boundary value problems for 3-regular functions in Clifford analysis are discussed.Firstly,by means of contract mapping theorem and the method of integral equation,the integral representation of the solution to the above problem A is obtained,and then we give another solution to the boundary value problem A′. |
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| Keywords: | Clifford analysis 3-regular functions linear boundary value problem contract mapping theorem |
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