四元数分析中λ-正则函数向量的带位移边值问题  

A class of boundary value problem with shift for λ-regular function vectors in quaternion analysis

作　　者：鄢盛勇[1] 

机构地区：[1]成都师范学院数学系,四川成都611130

出　　处：《贵州师范大学学报（自然科学版）》2013年第2期39-42,45,共5页Journal of Guizhou Normal University：Natural Sciences

基　　金：教育部科学技术研究重点项目(212147)

摘　　要：研究了四元数分析中λ-正则函数向量的一类带位移的边值问题。首先给出了λ-正则函数向量的积分表示,通过设计积分算子,将此边值问题转化为积分方程问题,借助积分方程理论和不动点原理证明了边值问题解的存在性,并给出了解的积分表达式。A class of boundary value problem with a kind of shit for λ- regular function vectors in quaternion analysis is considered. The integral representation of λ- regular function vectors, and some integral operators are given. The boundary value problem is transformed into an integral equation problem. Applying integral equation method and the fixed-point theorem, the existence of solution to the problem is proved, and the integral representation of solution is obtained.

关 键 词：四元数分析 λ-正则函数向量 带位移边值问题 

分 类 号：O175.27[理学—数学]