| Banach空间中一类微分方程整体解性质 |
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| 引用本文： | 曾强.Banach空间中一类微分方程整体解性质[J].清华大学学报(自然科学版),1986(5). |
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| 作者姓名： | 曾强 |
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| 作者单位： | 经济管理学院 |
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| 摘 要： | 本论文，把描述微分方程整体解性质的著名定理Ｗｉｎｔｎｅｒ定理由原来的 Ｒｎ空间推广到 Ｂａｎａｃｈ空间。为证明推广后的结论成立．首先给出了四个引理．其中这四个引理在特殊的Ｂａｎａｃｈ空间──—Ｒｎ空间中是作为有关解的基本性质定理出现的［１］．
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| 关 键 词： | 巴拿赫空间 整体解 常微分方程 |
The Properties of Global Solutions of One Catalog of Ordinary Differential Equations in Banach Spaces |
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| Zeng Qiang.The Properties of Global Solutions of One Catalog of Ordinary Differential Equations in Banach Spaces[J].Journal of Tsinghua University(Science and Technology),1986(5). |
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| Authors: | Zeng Qiang |
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| Institution: | Economic Management School |
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| Abstract: | This paper gives some important properties of the global solution of the ordinary differential equations in Banach Spaces. In space R n ,the famous mathematician A. Wintner gave a result concerning non-local solution of the ordinary differential equations. This paper not only proves the Wintner's theorem holding in Banach Space, but also gives three lemmas and three collaries. All these will be useful in the study of ordinary differential equation in abstract space and in the field of problems of global control. |
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| Keywords: | banach space global solution ordinary differential equation |
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