Clifford分析中超正则函数一类带位移的非线性边值问题  

Nonlinear boundary value problems with shift for hypermonogenic functions in Clifford analysis

作　　者：华青多杰[1] 

机构地区：[1]甘肃民族师范学院藏理系,甘肃合作747000

出　　处：《云南民族大学学报（自然科学版）》2013年第1期54-56,共3页Journal of Yunnan Minzu University:Natural Sciences Edition

摘　　要：研究Clifford分析中超正则函数一类带共轭值带位移的非线性边值问题,根据超正则函数的拟Cauchy型积分和Plemelj公式,利用积分方程理论和Schauder不动点原理证明了非线性边值问题:W+(t)=G1(t)W-(t)+G2(t)W-(d(t))+g(t).f t,W+(t),W-(t),W-((d(t)))解的存在性,并给出了解的积分表示式.Nonlinear boundary value problems with conjugate and shift for hypermonogenic functions in Clifford a nalysis were investigated. By applying Quasi - Cauchy＇s type integral and Plemelj formula and using the integral equation and the Schauder fixed point theorem, the paper proved the existence of the solutions to boundary value problemsW^＋（t）=G1（t）W^-（t）＋G2（t）W^-（d（t））＋g（t）·f（t,W^＋（t）,W^-（t）,W^-（d（t））））for hypermonogenic functions in Clifford analysis, and obtained the integral representations of the solutions.

关 键 词：CLIFFORD分析 超正则函数 位移 非线性边值问题 

分 类 号：O175[理学—数学]