| 实Clifford分析中,广义双正则函数向量的带位移带共轭的非线性边值问题 |
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| 引用本文： | 谢永红,焦红兵,刘秋菊.实Clifford分析中,广义双正则函数向量的带位移带共轭的非线性边值问题[J].数学的实践与认识,2005,35(1):192-200. |
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| 作者姓名： | 谢永红 焦红兵 刘秋菊 |
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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 |
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| 基金项目： | 河北省自然科学基金资助项目 (1 0 2 1 2 9)，河北省博士基金资助项目 (B2 0 0 2 1 2 7) |
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| 摘 要： | 首先得到了广义正则函数向量的 Plemelj公式 ,然后利用积分方程的方法和 Arzela- Ascoli定理 ,讨论了实 Clifford分析中广义双正则函数向量的带位移带共轭的非线性边值问题解的存在性 .
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| 关 键 词： | 实Clifford分析 广义双正则函数向量 带位移带共轭的非线性边值问题 积分方程 |
| 修稿时间： | 2003年5月10日 |
A Boundary Value Problem with A Kind of Shift and with Conjugation for Generalized Biregular Function Vectors in Real Clifford Analysis |
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| XIE Yong-hong,JIAO Hong-bing,LIU Qiu-ju.A Boundary Value Problem with A Kind of Shift and with Conjugation for Generalized Biregular Function Vectors in Real Clifford Analysis[J].Mathematics in Practice and Theory,2005,35(1):192-200. |
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| Authors: | XIE Yong-hong JIAO Hong-bing LIU Qiu-ju |
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| Abstract: | First, we get the Plemelj formula for the generalized biregular function vectors. Then, with the help of integral equations and the compressed map theorem, this paper considers the existence of the solution to the nonlinear bonndary value problem with a kind of shift and with conjugation for the generalized biregular function vectors in Clifford analysis. |
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| Keywords: | real clifford analysis generalized biregular function vector nonlinear boundary value problem with a kind of shift and with conjugation integral equation |
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