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文章基本信息

  • 标题:Perturbations of normally solvable nonlinear operators, I
  • 本地全文:下载
  • 作者:William O. Ray ; Anita M. Walker
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:1985
  • 卷号:8
  • 期号:2
  • 页码:241-246
  • DOI:10.1155/S0161171285000266
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    Let X and Y be Banach spaces and let ℱ and 𝒢 be Gateaux differentiable mappings from X to Y In this note we study when the operator ℱ + 𝒢 is surjective for sufficiently small perturbations 𝒢 of a surjective operator ℱ The methods extend previous results in the area of normal solvability for nonlinear operators.

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