无界域上正则函数向量带位移的非线性边值问题  

A Nonlinear Boundary Value Problem with Shift for Regular Function Vectors on Unbounded Domains

作　　者：汤获[1] 李星[1] 

机构地区：[1]宁夏大学数学计算机学院

出　　处：《宁夏大学学报（自然科学版）》2007年第2期103-106,共4页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10661009;10461008);宁夏自然科学基金资助项目(NZ0604)

摘　　要：讨论了Clifford分析中无界域上正则函数向量的带共轭带位移的非线性边值问题.首先得到了无界域上正则函数向量的Plemelj公式,然后利用积分方程方法和Schauder不动点理论讨论了该非线性边值问题解的存在性及其积分表达式.A nonlinear boundary value problem with conjugate and shift for regular function vectors on unbounded domains in real Clifford analysis is considered. The Plemelj formula for regular function vectors on unbounded domains is obtained firstly. Then the existence and the integral expression of the solution to this problem are investigated by virtue of integral equations and the Schauder fixed point theorem.

关 键 词：CLIFFORD分析 正则函数向量 无界域 位移 非线性边值问题 

分 类 号：O174.2[理学—数学]