| 无界域上正则函数向量带位移的非线性边值问题 |
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| 引用本文： | 汤获,李星. 无界域上正则函数向量带位移的非线性边值问题[J]. 宁夏大学学报(自然科学版), 2007, 28(2): 103-106 |
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| 作者姓名： | 汤获 李星 |
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| 作者单位： | 宁夏大学数学计算机学院,宁夏银川,750021;赤峰学院数学学院,内蒙古赤峰,024000;宁夏大学数学计算机学院,宁夏银川,750021 |
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| 基金项目： | 国家自然科学基金;宁夏自然科学基金 |
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| 摘 要： | 讨论了Clifford分析中无界域上正则函数向量的带共轭带位移的非线性边值问题.首先得到了无界域上正则函数向量的Plemelj公式,然后利用积分方程方法和Schauder不动点理论讨论了该非线性边值问题解的存在性及其积分表达式.
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| 关 键 词： | Clifford分析 正则函数向量 无界域 位移 非线性边值问题 |
| 文章编号： | 0253-2328（2007）02-0103-04 |
| 修稿时间： | 2006-05-10 |
A Nonlinear Boundary Value Problem with Shift for Regular Function Vectors on Unbounded Domains |
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| Tang Huo,Li Xing. A Nonlinear Boundary Value Problem with Shift for Regular Function Vectors on Unbounded Domains[J]. Journal of Ningxia University(Natural Science Edition), 2007, 28(2): 103-106 |
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| Authors: | Tang Huo Li Xing |
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| Affiliation: | 1. School of Mathematics and Computer Science, Ningxia University, Yinchuan 750021, China; 2. School of Mathematics, Chifeng College, Chifeng 024000, China |
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| Abstract: | A nonlinear boundary value problem with conjugate and shift for regular function vectors on unbounded domains in real Clifford analysis is considered. The Plemelj formula for regular function vectors on unbounded domains is obtained firstly. Then the existence and the integral expression of the solution to this problem are investigated by virtue of integral equations and the Schauder fixed point theorem. |
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| Keywords: | Clifford analysis regular function vector unbounded domains shift nonlinear boundary value problem |
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