实Clifford分析中,双正则函数向量的非线性边值问题

A Nonlinear Boundary Value Problem for Biregular Function Vectors with Values in Real Clifford Analysis

研究实Clifford分析中关于多个未知函数的双正则函数向量的一个非线性边值问题利用积分方程方法和Schauder不动点原理证明了解的存在性．并利用压缩映射原理证明相应线性边值问题解的存在唯一性．

In this paper we discuss a nonlinear boundary valuc problem for biregularfunction vectors with values in real Clifford analysis:Applying the method of integral equations and Schauder's fixed-point theorem,we proved the existence of the solution for the above problem. And applying contract mapping theorem,we proved the existence and uniqueness for corresponding linear boundary value problems.