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  

A Nonlinear Boundary Value Problem with Conjugate Value for Regular Functions on Unbounded Domains in Real Clifford Analysis

作　　者：汤获[1] 李星[1] Tang Huo, Li Xing （College of Mathematics and Computer Science, Ningxia University , Yinchuan, Ningxia 750021 ）

机构地区：[1]宁夏大学数学与计算机学院,宁夏银川750021

出　　处：《绍兴文理学院学报（自然科学版）》2006年第3期13-17,共5页Journal of Shaoxing College of Arts and Sciences

基　　金：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．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.

关 键 词：CLIFFORD分析 正则函数 无界域 共轭值 非线性边值问题 

分 类 号：O174.2[理学—数学;理学—基础数学]