Clifford分析中k超正则函数带位移的非线性边值问题

Nonlinear Boundary Value Problem with Shift for k Hypermonogenic Functions in Clifford Analysis

利用积分方程的方法和Schauder不动点原理研究Clifford分析中k超正则函数带位移的非线性边值问题,证明了解的存在性和唯一性,并得到了解的积分表达式.

With the help of the theory of integral equations and Schauder fixed-point theorem, nonlinear boundary value problem with shift for k hypermonogenic functions in Clifford analysis was investigated. The existence and uniqueness of the solution to the above problem were proved, and the integral representation of its solution was obtained.