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| Clifford分析中无界域上正则函数带共轭值带位移的非线性边值问题 | |
| 引用本文： | 汤获 李星. Clifford分析中无界域上正则函数带共轭值带位移的非线性边值问题[J]. 绍兴文理学院学报, 2006, 26(3): 13-17 |
| 作者姓名： | 汤获 李星 |
| 作者单位： | 宁夏大学数学与计算机学院,宁夏银川750021 |
| 基金项目： | 国家自然科学基金资助项目（10461008）和宁夏自然科学基金资助项目（NZ0517）. |
| 摘 要： | 讨论了Clifford分析中无界域上正则函数带共轭值带位移的非线性边值问题．首先引入了无界域上正则函数的Plemelj公式，然后利用积分方程的方法和Schauder不动点理论证明了该非线性边值问题解的存在性，并给出了其积分表达式． |
| 关 键 词： | Clifford分析 正则函数 无界域 共轭值 非线性边值问题 |
| 文章编号： | 1008-293X（2006）09-0013-05 |
| 收稿时间： | 2006-06-25 |
A Nonlinear Boundary Value Problem with Conjugate Value for Regular Functions on Unbounded Domains in Real Clifford Analysis |
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| Tang Huo, Li Xing. A Nonlinear Boundary Value Problem with Conjugate Value for Regular Functions on Unbounded Domains in Real Clifford Analysis[J]. Journal of Shaoxing College of Arts and Sciences, 2006, 26(3): 13-17 | |
| Authors: | Tang Huo Li Xing |
| Abstract: | Investigated a nonlinear boundary value problem with conjugate for regular functions on unbounded domains in real Clifford analysis,the boundary condition of which is as follows:First,the Plemelj formula for regular functionson unbounded domains was introduced,then with the help of integral equations and the Schauder fixed point theorem,the existence of a solution for this problem is proved and the integral expression of the solution is given. |
| Keywords: | Clifford analysis regular function unbounded domains conjugate value nonlinear boundary value problem |
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