摘要
首先利用积分方程的方法和Arzela-Ascoli定理讨论了实Clifford分析中双正则函数向量的带Haseman位移带共轭值的非线性边值问题解的存在性及其积分表达式,其次利用压缩映射原理解决了其线性边值问题解的存在唯一性及其积分表达式.
First, with the help of integral equations and Arzela theorem, this paper concerns the existence and the expression of the solution to the nonlinear bonndary value problem with Haseman shift and a conjugation for biregular function vectors in real Clifford analysis. Then, by use of the principle of fixed point we prove the uniqueness of existence and the expression of the solution to the linear bonndary value problem with Haseman shift and a conjugation for biregular function vectors in real Clifford analysis.
出处
《数学的实践与认识》
CSCD
北大核心
2010年第2期201-208,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金(10771049
10801043)
河北省自然科学基金(A2007000225)
河北省教育厅资助项目(2007112)
河北科技大学校立基金(XL2006051)
关键词
实CLIFFORD分析
双正则函数向量
带位移带共轭的边值问题
积分方程.
real clifford analysis
generalized biregular function vector
nonlinear boundary value problem with a kind of shift and a conjugation
integral equation
