Clifford分析中广义正则函数向量的带位移带共轭的非线性边值问题  

A nolinear boundary value problem with conjugate value and a kind of shift for a class of generalized regular function vectors in Clifford Analysis

作　　者：曾伟[1] 曾纯一[1] 

机构地区：[1]四川师范大学数学与软件科学学院,成都610066

出　　处：《西南民族大学学报（自然科学版）》2006年第4期648-653,共6页Journal of Southwest Minzu University(Natural Science Edition)

摘　　要：讨论Clifford分析中广义正则函数向量的带位移带共轭的非线性边值问题,得到了其plemelj公式,然后用积分方程的方法和Schauder不动点原理证明了该问题解的存在性,并得到了解的积分表达式.In this paper,we discuss a class of nolinear boundary value problem with conjugate value and a kind of shift for a class of generalized regular function vectors in Clifford Analysis.First,the Plemelj formula is obtained,and then with the help of integral equation and Schauder fixed point theorem,we prove the existence of solution for the above problem.

关 键 词：CLIFFORD分析 广义正则函数向量 带位移带共轭的非线性边值问题. 

分 类 号：O177.91[理学—数学]