四元数广义正则函数的斜微商边值问题

数学物理学报 ›› 1997, Vol. 17 ›› Issue (4): 447-451.

四元数广义正则函数的斜微商边值问题

乔玉英

河北师范大学数学系石家庄 050016

收稿日期:1996-05-13 修回日期:1996-11-04 出版日期:1997-08-26 发布日期:1997-08-26
基金资助:
河北省自然科学基金

The obligue Derivative Boundary Value Problem for the Generalized Regular Function with Value in Quaternions

Qiao Yuying

Hebei Normal University 050016

Received:1996-05-13 Revised:1996-11-04 Online:1997-08-26 Published:1997-08-26

摘要/Abstract

摘要： 该文前半部分研究四元数广义正则函数的斜微商边值问题解的存在唯一性,后半部分在闻国格教授工作[2]的基础上,研究会有四个自变数一队退化椭圆组的斜微商边值问题解的存在性.

关键词: 四元数广义正则函数, 斜微商边值问题, 退化椭圆组

Abstract: The first part of this paper discuses the obligue derivative boundary value problem for the generalized regular function with value in Quaternions. We got the existence and uniqueness of the solution of the problem. In the second part of the paper we discuse existence of solution of the obligue derivative boundary value problem for first order degeneracy elliptic system include four variates.

Key words: Generalized regular function with value in quaternions, Obligue derivative boundary value problem, Degeneracy elliptic system

乔玉英. 四元数广义正则函数的斜微商边值问题[J]. 数学物理学报, 1997, 17(4): 447-451.

Qiao Yuying. The obligue Derivative Boundary Value Problem for the Generalized Regular Function with Value in Quaternions[J]. Acta mathematica scientia,Series A, 1997, 17(4): 447-451.