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    刘鹏. Hartman 线性化定理中共轭映射关于参数的连续依赖性[J]. 内江师范学院学报, 2018, (2): 46-49. DOI: 10.13603/j.cnki.51-1621/z.2018.02.010
    引用本文: 刘鹏. Hartman 线性化定理中共轭映射关于参数的连续依赖性[J]. 内江师范学院学报, 2018, (2): 46-49. DOI: 10.13603/j.cnki.51-1621/z.2018.02.010
    shu
    LIU Peng. Continuous Dependence on Parameters of the Conjugacy in Hartman Linearization Theorem[J]. Journal of Neijiang Normal University, 2018, (2): 46-49. DOI: 10.13603/j.cnki.51-1621/z.2018.02.010
    Citation: LIU Peng. Continuous Dependence on Parameters of the Conjugacy in Hartman Linearization Theorem[J]. Journal of Neijiang Normal University, 2018, (2): 46-49. DOI: 10.13603/j.cnki.51-1621/z.2018.02.010
    shu

    Hartman 线性化定理中共轭映射关于参数的连续依赖性

    Continuous Dependence on Parameters of the Conjugacy in Hartman Linearization Theorem

      摘要
    • 摘要: 为了解 C2 共轭映射关于参数的依赖性,首先研究正规形理论中共轭映射关于参数的连续依赖性.然后利用特殊的不动点定理,证明线性化理论中 C2 共轭映射关于参数具有连续依赖性,从而扩展前人的结论.

       

      Abstract: In order tofind out about the parameter-related dependence of C2 conjugacy, the parameter-related continuous dependence of the conjugacy in normal norm theory is studied; then by use of the special fixed point theorem, it is proven that the parameter-related continuous dependence exists in C conjugacy in the linearization theory and the findings of our predeces- sors are further generalized.

       

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