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• 数学 • 上一篇    下一篇

Clifford分析中超正则函数向量带共轭值的非线性边

杨柳   

  1. 衡阳师范学院 数学系, 湖南 衡阳 421008
  • 收稿日期:2007-05-24 修回日期:1900-01-01 出版日期:2008-05-26 发布日期:2008-05-26
  • 通讯作者: 杨柳

Nonlinear Boundary Value Problem with Conjugate Value forHypermonogenic Function Vectors in Clifford Analysis

YANG Liu   

  1. Department of Mathematics, Hengyang Normal University, Hengyang 421008, Hunan Province, China
  • Received:2007-05-24 Revised:1900-01-01 Online:2008-05-26 Published:2008-05-26
  • Contact: YANG Liu

摘要: 利用积分方程和Schauder不动点原理研究实Clifford分析中超正则函数向量的一类带共轭值的非线性边值问题, 得到了其解的存在性和积分表达式.

关键词: Clifford分析, 超正则函数向量, 非线性边值问题

Abstract: Applying the method of integral equations and Schauder fixedpiont theorem, we investigated a nonlinear boundary value problem with conjugate value for hypermonogenic function vectors in Clifford analysis and achieved the existence and representations of its solutions.

Key words: Clifford analysis, hypermonogenic function vectors, nonlinear boundary value problem

中图分类号: 

  • O174.5