| Poincaré映射的定义域 |
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| 引用本文： | 韩通. Poincaré映射的定义域[J]. 上海师范大学学报(自然科学版), 2018, 47(3): 364-369 |
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| 作者姓名： | 韩通 |
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| 作者单位： | 上海杉达学院 胜祥商学院, 上海 201209 |
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| 摘 要： | 研究一维周期微分方程Poinaré映射的定义域,证明如果这个映射存在,其定义域一定是一个开区间,并分别对Bernoulli、Riccati和Abelian等方程寻求它们Poincaré映射的定义域.
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| 关 键 词： | 周期方程 Poincaré映射 定义域 |
| 收稿时间： | 2018-03-28 |
On the domain of Poincaré map |
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| Han Tong. On the domain of Poincaré map[J]. Journal of Shanghai Normal University(Natural Sciences), 2018, 47(3): 364-369 |
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| Authors: | Han Tong |
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| Affiliation: | Shengxiang School of Business, Shanghai Sanda University, Shanghai 201209, China |
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| Abstract: | In this paper, we study the domain of Poinaré map for one-dimensional periodic equations. We prove that its domain is an open interval if the Poincaré map exists. We further investigate the domain of their Poincaré map for some examples such as Bernoulli equation, Riccati equation and Abelian equation. |
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| Keywords: | periodic equation Poincaré map domain |
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