期刊文献+

Clifford分析中超正则函数向量带共轭值的非线性边值问题 被引量:2

Nonlinear Boundary Value Problem with Conjugate Value for Hypermonogenic Function Vectors in Clifford Analysis
下载PDF
导出
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. Applying the method of equations and Schauder fixed-piont theorem, nonlinear boundary value problem with conjugate value for hypermonogenic function vectors and achieved the existence and representations of its solutions. we investigated a in Clifford analysis
作者 杨柳
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2008年第3期418-422,共5页 Journal of Jilin University:Science Edition
基金 湖南省自然科学基金(批准号:06JJ5001)
关键词 CLIFFORD分析 超正则函数向量 非线性边值问题 Clifford analysis hypermonogenic function vectors nonlinear boundary value problem
  • 相关文献

参考文献7

二级参考文献26

  • 1QIAO Yuying.A boundary value problem for hypermonogenic functions in Clifford analysis[J].Science China Mathematics,2005,48(z1):324-332. 被引量:29
  • 2黄沙.Clifford分析中双正则函数的非线性边值问题[J].宁夏大学学报(自然科学版),1996,17(1):53-54. 被引量:29
  • 3黄沙.Clifford分析中双正则函数的非线性边值问题[J].中国科学(A辑),1996,26(3):227-236. 被引量:27
  • 4Brack F, Delanghe R, Sommen F. Clifford Analysis. (Research Notes in Mathematics 76)[M].London : Pitman Books Ltd, 1982.
  • 5Wen Guochun. Clifford analysis and elliptic system. Hyperbolic Systems of First Order Equations[A]. Proceeding of International Conference on Integral Equation and Boundary Problems [C].Singapore : World Scientific Press, 1991,230-237.
  • 6Leutwiler H. Modified Clifford analysis[J]. Complex Variables, 1992,17 : 153-171.
  • 7Leutwiler H. Modified quaternionic analysis in R^3[J]. Complex Variables, 1992,20.19-50.
  • 8Eriksson-Bique S L, Leutwiler H. Hypermonogenic functions and MObius transformations[J].Advances in Applied Clifford Algebras,2001,11 (S2):67-76.
  • 9Eriksson-Bique S L, Leutwiler H. Hypermonogenic Functions, Clifford Algebras and Their Applications in Mathematical Physics, Clifford Analysis[Z]. Boston, 2000,2:286-301.
  • 10Eriksson-Bique S L. Hypermonogenic Functions and their Cauchy-type theorems, Advances in Analysis and Geometry, New Developments Using Clifford Algebras[M]. Berlin.. Birkhauser,2004,97-112.

共引文献62

同被引文献22

引证文献2

二级引证文献9

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部