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文章基本信息

  • 标题:Invariant foliations and stability in critical cases
  • 本地全文:下载
  • 作者:Christian Pötzsche
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2006
  • 卷号:2006
  • DOI:10.1155/ADE/2006/57043
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    We construct invariant foliations of the extended state space for nonautonomous semilinear dynamic equations on measure chains (time scales). These equations allow a specific parameter dependence which is the key to obtain perturbation results necessary for applications to an analytical discretization theory of ODEs. Using these invariant foliations we deduce a version of the Pliss reduction principle.

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