双正则函数向量的带Haseman位移带共轭值的线性及非线性边值问题

A Boundary Value Problem with a Kind of Shift and a Conjugation for Biregular Function Vectors in Real Clifford Analysis

首先利用积分方程的方法和Arzela-Ascoli定理讨论了实Clifford分析中双正则函数向量的带Haseman位移带共轭值的非线性边值问题解的存在性及其积分表达式,其次利用压缩映射原理解决了其线性边值问题解的存在唯一性及其积分表达式.

First, with the help of integral equations and Arzela theorem, this paper concerns the existence and the expression of the solution to the nonlinear bonndary value problem with Haseman shift and a conjugation for biregular function vectors in real Clifford analysis. Then, by use of the principle of fixed point we prove the uniqueness of existence and the expression of the solution to the linear bonndary value problem with Haseman shift and a conjugation for biregular function vectors in real Clifford analysis.