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On Reduced Variational Equations of Coupled Systems 被引量:3

A Note on the Principal Theorems in the Theory of Functional Analysis
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摘要 Two theorems are proved. They are with principal significance in functional analysis, for they imply some well known theorems, such as the open mapping theorem, the closed graph theorem and the Banach Steinhaus theorem. Two theorems are proved. They are with principal significance in functional analysis, for they imply some well known theorems, such as the open mapping theorem, the closed graph theorem and the Banach Steinhaus theorem.
出处 《Wuhan University Journal of Natural Sciences》 CAS 1997年第2期21-25,共5页 武汉大学学报(自然科学英文版)
关键词 NONNEGATIVITY positive homogeneity countable subadditivity nonnegativity, positive homogeneity, countable subadditivity
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  • 1Du Nai-lin 1, Du Nai-xia 2 1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei China,2. Hebei Institute of Architectural Science and Technology, Handan 056038, Hebei China.A Principal Theorem of Generalized Galerkin's Schemes[J].Wuhan University Journal of Natural Sciences,2002,7(2):137-138. 被引量:1
  • 2Brenner S.C.,Scott L.R.The mathematical theory of finite element methods[M].New York:Springer-Verlag,1994.
  • 3Quarteroni A.,Valli A..Numerical approximation of partial differential equations[M].Berlin Heidelberg:Springe-Verlag,1994.
  • 4Yosida K..Functional analysis[M].6th edition.Berlin Heidelberg:Springer-Verlag,1980.
  • 5Wang Guo-rong.Generalized Inverses of Matrices and Operators[]..1994
  • 6Nashed M Z.Generalized Inverses and Applications[]..1976
  • 7Hou Zong-yi,Li He-nong.The General Arcangeli’s Method for Solving Ill-Posed Problems[].Nonlinear Analysis TheoryMethods & Application.1993
  • 8Morozov V.Methods for Solving Incorrectly Posed Problems[]..1984
  • 9Zeidler E.Nonlinear Functional Analysis and Its Applications Ⅲ[]..1985
  • 10Tikhonov A,Arsenin V.Solution of Ill-Posed Problems[]..1977

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