广义双正则函数的非线性带位移边值问题

A NONLINEAR BOUNDARY VALUE PROBLEM WITH A SHIFT FOR GENERALIZED BIREGULAR FUNCTION

本文研究Ｃｌｉｆｆｏｒｄ分析中的广义双正则函数及其一类非线性带Ｈａｓｅｍａｎ位移的边 值问题．通过积分变换将边值问题转化成积分方程问题，借助于积分方程理论和不动点 定理证明了边值问题解的存在性并给出了解的积分表示式．

This paper discusses generalized biregular function in Clifford analysis and it's nonlinear boundary value problem with Haseman shift, and takes the problem to a integral equation problem by useing the method integral transformation. Applying the method of integral equation and Schauder fixed-point theorem, we discuss the solvability for the boundary value problem and give a expression of the solution.