Clifford分析中k正则函数的线性边值问题  

Linear Boundary Value Problem for k Regular Functions in Clifford Analysis

作　　者：汤获[1,2] 李书海[1] 马丽娜[1] 

机构地区：[1]赤峰学院数学学院,内蒙古赤峰024000 [2]北京师范大学数学科学学院,北京100875

出　　处：《吉林大学学报（理学版）》2011年第3期462-464,共3页Journal of Jilin University:Science Edition

基　　金：内蒙古自然科学基金(批准号:2010MS0117);内蒙古高校科研基金(批准号:NJzc08160)

摘　　要：利用积分方程的方法和压缩映射原理研究Clifford分析中k正则函数的线性边值问题,证明了解的存在性和唯一性,得到了解的积分表达式.With the help of the theory of integral equation and contact mapping theorem,linear boundary value problem for k regular functions in Clifford analysis was investigated.The existence and uniqueness of the solution to the above problem were proved,and the integral representation of its solution was obtained.

关 键 词：CLIFFORD分析 K正则函数 线性边值问题 

分 类 号：O174.5[理学—数学]