| Wintner定理的推广与全局光滑线性化 |
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| 引用本文： | 史金麟.Wintner定理的推广与全局光滑线性化[J].数学学报,2002,45(6):1113-112. |
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| 作者姓名： | 史金麟 |
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| 作者单位： | 福州大学数学系,福建,福州,350002 |
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| 基金项目： | 国家自然科学基金资助项目（19671017） |
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| 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.
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| 关 键 词： | Wintner定理 推广 全局 光滑线性化 |
| 文章编号： | 0583-1431(2002)06-1113-08 |
| 修稿时间： | 2001年4月23日 |
Generalization of Wintner's Theorem and Global Smooth Linearization |
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| Jin Lin SHI.Generalization of Wintner''''s Theorem and Global Smooth Linearization[J].Acta Mathematica Sinica,2002,45(6):1113-112. |
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| Authors: | Jin Lin SHI |
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| Institution: | Jin Lin SHI(Department of Mathematics, Fuzhou Univresity, Fuzhou 350002, P. R. China) |
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| 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, |
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| Keywords: | Wintner Theorem Generalization Global Smooth linearization |
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