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A REGULAR VALUE OF COMPACT DEFORMATION

A REGULAR VALUE OF COMPACT DEFORMATION
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摘要 Sufficient conditions were given to assert that between any two Banach spaces over K, Fredholm mappings share at least one .value in a specific open ball. The proof of the result is constructive and based upon continuation methods. Sufficient conditions were given to assert that between any two Banach spaces over K, Fredholm mappings share at least one .value in a specific open ball. The proof of the result is constructive and based upon continuation methods.
作者 J.M.Soriano
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第9期1265-1274,共10页 应用数学和力学(英文版)
基金 Project supported by D.G.E.S. Pb 96-1338-CO 2-01 and the Junta de Andalucia
关键词 regular value continuation methods continuous dependence theorem C^1- homotopy proper mapping compact mapping Fredholm mapping topological complement Sard-Smale theorem regular value continuation methods continuous dependence theorem C^1- homotopy proper mapping compact mapping Fredholm mapping topological complement Sard-Smale theorem
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参考文献3

  • 1J.M.索里阿诺,吴承平.具公共值的Fredholm紧映射[J].应用数学和力学,2001,22(6):609-612. 被引量:6
  • 2Serge Bernstein.Sur la généralisation du problème de Dirichlet[J].Mathematische Annalen.1910(1)
  • 3Serge Bernstein.Sur la généralisation du problème de Dirichlet[J].Mathematische Annalen.1906(2)

二级参考文献1

  • 1Garcia C B,SIAM J Numer Anal,1980年,17卷,540页

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