| 广义双正则函数的非线性带位移边值问题 |
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| 引用本文： | 乔玉英. 广义双正则函数的非线性带位移边值问题[J]. 系统科学与数学, 2002, 22(1): 043-049 |
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| 作者姓名： | 乔玉英 |
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| 作者单位： | 中国科技大学数学系,合肥,230026；河北师范大学数学系,石家庄,050016 |
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| 基金项目： | 国家自然科学基金（No．19771068），河北省科委、河北省教委自然科学基金资助课题． |
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| 摘 要： | 本文研究Ｃｌｉｆｆｏｒｄ分析中的广义双正则函数及其一类非线性带Ｈａｓｅｍａｎ位移的边 值问题．通过积分变换将边值问题转化成积分方程问题，借助于积分方程理论和不动点 定理证明了边值问题解的存在性并给出了解的积分表示式．
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| 关 键 词： | Clifford分析 广义双正则函数 非线性带位移边值问题 |
| 修稿时间： | 1999-11-11 |
A NONLINEAR BOUNDARY VALUE PROBLEM WITH A SHIFT FOR GENERALIZED BIREGULAR FUNCTION |
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| Yu Ying QIAO. A NONLINEAR BOUNDARY VALUE PROBLEM WITH A SHIFT FOR GENERALIZED BIREGULAR FUNCTION[J]. Journal of Systems Science and Mathematical Sciences, 2002, 22(1): 043-049 |
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| Authors: | Yu Ying QIAO |
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| Affiliation: | Department of Mathematics, University of Science and Technology of China, Hefei 230026,P.R.China; Department of Mathematics, Hebei Teachers University, Shijiazhuang 050016,P.R.China |
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| Abstract: | This paper discusses generalized biregular function in Clifford analysis and it's nonlinear boundary value problem with Haseman shift, and takes the problem to a integral equation problem by useing the method integral transformation. Applying the method of integral equation and Schauder fixed-point theorem, we discuss the solvability for the boundary value problem and give a expression of the solution. |
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| Keywords: | Clifford analysis generalized biregular function nonlinear boundary value problem with a shift. |
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