超正则函数向量的一类带位移带共轭的非线性边值问题  

A Nonlinear Boundary Value Problem of Hypermonogenic Functional Vector with Displacement and Conjugation

作　　者：潘利双[1] 韩惠丽[1] 

机构地区：[1]宁夏大学数学与计算机学院,银川750021

出　　处：《科学技术与工程》2010年第16期3930-3934,共5页Science Technology and Engineering

基　　金：教育部科学技术研究重点项目(207124)资助

摘　　要：根据超正则函数向量的拟Cauchy型积分和Plemelj公式,运用积分方程理论及Schauder不动点原理证明了一类超正则函数向量带位移带共轭的非线性边值问题解的存在性,并给出了解的积分表示式。A nonlinear boundary value problem of hypermonogenic function of vector value with displacement and conjugation is discussed. Based on quasi-Cauchy type integral and on Plemelj formula about hypermonogenic function of vector value,the existence of solutions of boundary value problem is proved using the theory of integral equation and of Schauder fixed point theory. And the integral representation of solution is given.

关 键 词：CLIFFORD分析 超正则函数向量 非线性边值问题 

分 类 号：O175.8[理学—数学]