双hypergenic函数向量的带Haseman位移带共轭的边值问题  

Boundary value problems for bihypergenic function vectors with Haseman shift and conjugation

作　　者：刘利霞 杜晓静 谢永红[1] LIU Li-xia;DU Xiao-jing;XIE Yong-hong(School of Mathematical Science,Hebei Normal University,Shijiazhuang,050024,China)

机构地区：[1]河北师范大学数学科学学院,河北石家庄050024

出　　处：《高校应用数学学报（A辑）》2021年第2期235-246,共12页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(11871191);河北省自然科学基金(A2019106037);河北师范大学重点基金(L2018Z01,L2021Z01)。

摘　　要：讨论实Clifford分析中双hypergenic函数向量的带Haseman位移带共轭的边值问题.首先利用积分方程和Schauder不动点定理证明了其边值问题解的存在性,再运用压缩映射原理证明了其线性边值问题解的存在唯一性,并给出解的积分表达式.In this paper,boundary value problems for bihypergenic function vectors with Hase-man shift and conjugation in real Clifford analysis are discussed.By the integral equation and the Schauder fixed point theorem principle the existence of the solution to the boundary value problem is proved,and the expression of the solution is given.Using the integral equation and compression mapping the linear boundary value problem is solved.

关 键 词：实CLIFFORD分析 双hypergenic函数向量 位移 共轭 边值问题 

分 类 号：O174.5[理学—数学]