| 利用吸引盆证明Hardamard-Levy定理 |
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| 引用本文： | 潘庆茂,王文相.利用吸引盆证明Hardamard-Levy定理[J].连云港师范高等专科学校学报,2004(4):77-78. |
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| 作者姓名： | 潘庆茂 王文相 |
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| 作者单位： | 连云港财经高等职业技术学校,基础教学部,江苏,连云港,222003 |
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| 摘 要： | 在局部同胚的条件下，Hardamard-Levy定理给出数值连续法可行性的条件。文章利用吸引盆为工具，推广了在Banach空间判定全局同胚的条件，并以此为基础，给出了Hardamard-Levy定理的一种新的证明。
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| 关 键 词： | 吸引盆 全局同胚 连续法 延拓性 |
| 文章编号： | 1009-7740(2004)04-0077-02 |
| 修稿时间： | 2004年2月23日 |
A New Proof of Hardamard - Levy Theorem with Basin of Attraction |
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| PAN Qing - mao,WANG Wen - xiang.A New Proof of Hardamard - Levy Theorem with Basin of Attraction[J].Journal of Lianyungang Teachers College,2004(4):77-78. |
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| Authors: | PAN Qing - mao WANG Wen - xiang |
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| Abstract: | In the condition of local diffeomorphisms, Hardamard - Levy Theorem gives us a condition for the feasibility of numerical continuous methods. The concept of the basin of attraction is the main tool of our exposition in discussing global diffeornorphisms between Banach spaces, furthermore, we give a new proof of the Hardamard - Levy theorem. |
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| Keywords: | the basin of attraction diffeomorphisms path - lifting continuous methods |
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