Wintner定理的推广与全局光滑线性化

史金麟

数学学报 ›› 2002, Vol. 45 ›› Issue (6) : 1113-112.

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PDF(413 KB)
数学学报 ›› 2002, Vol. 45 ›› Issue (6) : 1113-112. DOI: 10.12386/A2002sxxb0144
论文

Wintner定理的推广与全局光滑线性化

    史金麟
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Generalization of Wintner's Theorem and Global Smooth Linearization

    Jin Lin SHI
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文章历史 +

摘要

微分方程光滑线性化的研究,目前仅限于原点近傍的小邻域,本文给出了一个全局光滑线性化的结论.全局拓扑线性化或全局光滑线性化的先决条件是任一解的存在区间为全实轴.因此,本文也讨论了Wintner定理的推广问题.

Abstract

Abstract Up to now, researches is the smooth linearization of differential equations have been restricted to a small neighborhood of the origin. A result of global smooth linearization is presented in this paper. The premise of the global topological lineariza-tion (the global smooth linearization) is that the existent domain of any solution is the whole real axis. So, this paper also discusses the generalization of the Wintner Theorem,

关键词

全局 / 光滑线性化 / 推广 / Wintner定理

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史金麟. Wintner定理的推广与全局光滑线性化. 数学学报, 2002, 45(6): 1113-112 https://doi.org/10.12386/A2002sxxb0144
Jin Lin SHI. Generalization of Wintner's Theorem and Global Smooth Linearization. Acta Mathematica Sinica, Chinese Series, 2002, 45(6): 1113-112 https://doi.org/10.12386/A2002sxxb0144
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