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

作　　者：汤获[1,2] 邓冠铁[1] 木林[2] 

机构地区：[1]北京师范大学数学科学学院,北京100875 [2]赤峰学院数学与统计学院,内蒙古赤峰024000

出　　处：《吉林大学学报（理学版）》2012年第4期616-620,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11071020);高等学校博士学科点专项科研基金(批准号:20100003110004);内蒙古自然科学基金(批准号:2010MS0117);内蒙古高校科研基金(批准号:NJzc08160)

摘　　要：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.

关 键 词：CLIFFORD分析 k超正则函数 位移 非线性边值问题 

分 类 号：O174.5[理学—数学]