| Clifford 分析中无界域上正则函数带Haseman位移的边值问题 |
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| 引用本文： | 许娜,乔玉英. Clifford 分析中无界域上正则函数带Haseman位移的边值问题[J]. 数学物理学报(A辑), 2008, 28(5): 846-855 |
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| 作者姓名： | 许娜 乔玉英 |
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| 作者单位： | [1]河北科技大学经济管理学院,石家庄050016 [2]河北师范大学数学与信息科学学院,石家庄050016 |
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| 基金项目： | 国家自然科学基金，河北科技大学校科研和教改项目，河北省科学基金 |
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| 摘 要： | 该文在引入修正的Cauchy核的基础上,讨论了Clifford 分析中无界域上正则函数带 Haseman 位移的边值问题. 首先给出了无界域上Cauchy 型积分的Plemelj公式,再利用积分方程方法和压缩不动点定理证明了问题解的存在唯一性.
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| 关 键 词： | 实 Clifford 分析 正则函数 无界域上的边值问题 积分方程 |
| 收稿时间： | 2005-11-20 |
| 修稿时间： | 2007-07-15 |
The Boundary Value Problem with Haseman Shift for Regular Functions on Unbounded Domains in Clifford Analysis |
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| Xu Na,Qiao Yuying. The Boundary Value Problem with Haseman Shift for Regular Functions on Unbounded Domains in Clifford Analysis[J]. Acta Mathematica Scientia, 2008, 28(5): 846-855 |
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| Authors: | Xu Na Qiao Yuying |
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| Affiliation: | (School of Economics & Management, Hebei University of Science and Technology, Shijiazhuang 050016; Hebei Normal University, Shijiazhuang 050016) |
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| Abstract: | On the basis of the introduction of the modified Cauchy kernel, this paper deals with the boundary value problem with Haseman shift for regular functions on unbounded domains: a(t)Φ+(t)+b(t)Φ-(d(t))+c(t)Φ-(t)=g(t). Firstly, the authors give the Plemelj formula functions on unbounded domains. Then, by the integral equation method and the fixed-point theorem, the authors prove the existence and uniqueness of the solution for the problem. |
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| Keywords: | Real Clifford analysiszz Regular functionzz Plemelj formulazz Boundary value problem on unbounded domainszz Integral equation.zz |
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