广义双正则函数向量的非线性边值问题

A Boundary Value Problem with a Kind of Shift for Generalized Biregular Function Vectors

讨论了实Ｃｌｉｆｆｏｒｄ分析中广义双正则函数向量的带正位移的非线性边值问题．首先给出了广义双正则函数向量的Ｐｌｅｍｅｌｊ公式，然后用积分方程的方法和Ｓｃｈａｕｄｅｒ不动点映射原理讨论了这个非线性边值问题解的存在性．

A nonlinear boundary value problem with a kind of shift for the general ized biregular function vectors in Clifford analysis is considered.First,the Ple melj formula for the generalized biregular function vectors is given,then with t he help of integral equations and the compressed map theorem,the existence of th e solution to the above nonlinear boundary value problem are discussed.