| 双正则函数向量的带Haseman位移带共轭值的线性及非线性边值问题 |
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| 引用本文： | 杨贺菊.双正则函数向量的带Haseman位移带共轭值的线性及非线性边值问题[J].数学的实践与认识,2010,40(2). |
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| 作者姓名： | 杨贺菊 |
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| 作者单位： | 河北师范大学数学与信息科学学院,河北,石家庄,050016;河北科技大学理学院数学系,河北,石家庄,050018 |
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| 基金项目： | 国家自然科学基金(10771049;10801043); 河北省自然科学基金(A2007000225); 河北省教育厅资助项目(2007112); 河北科技大学校立基金(XL2006051) |
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| 摘 要： | 首先利用积分方程的方法和Arzela-Ascoli定理讨论了实Clifford分析中双正则函数向量的带Haseman位移带共轭值的非线性边值问题解的存在性及其积分表达式,其次利用压缩映射原理解决了其线性边值问题解的存在唯一性及其积分表达式.
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| 关 键 词： | 实Clifford分析 双正则函数向量 带位移带共轭的边值问题 积分方程. |
A Boundary Value Problem with a Kind of Shift and a Conjugation for Biregular Function Vectors in Real Clifford Analysis |
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| YANG He-ju.A Boundary Value Problem with a Kind of Shift and a Conjugation for Biregular Function Vectors in Real Clifford Analysis[J].Mathematics in Practice and Theory,2010,40(2). |
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| Authors: | YANG He-ju |
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| Institution: | YANG He-ju~(1,2) (1.College of Mathematics , information science,Hebei Normal University,Shijiazhuang 050016,China) (2.College of Science,Hebei University of Science , Technology,Shijiazhuang 050018,China) |
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| Abstract: | First,with the help of integral equations and Arzela theorem,this paper concerns the existence and the expression of the solution to the nonlinear bonndary value problem with Haseman shift and a conjugation for biregular function vectors in real Clifford analysis.Then, by use of the principle of fixed point we prove the uniqueness of existence and the expression of the solution to the linear bonndary value problem with Haseman shift and a conjugation for biregular function vectors in real Clifford analysis. |
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| Keywords: | real Clifford analysis generalized biregular function vector nonlinear boundary value problem with a kind of shift and a conjugation integral equation |
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