| 《泛函分析》中两个定理的教学与应用 |
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| 引用本文： | 刘迎东.《泛函分析》中两个定理的教学与应用[J].数学的实践与认识,2001,31(2):251-253. |
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| 作者姓名： | 刘迎东 |
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| 作者单位： | 北方交通大学理学院应用数学所 |
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| 摘 要： | 本文讨论《泛函分析》中 Schauder不动点定理和 Arzela-Ascoli定理的教学方法并把它们用于互助生态模型得到两物种共存的一个充分条件 .
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| 关 键 词： | 列紧集 不动点 周期解 |
| 修稿时间： | 2000年10月27 |
Teaching Method for Two Theorems in Functional
Analysis and Their Applications |
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| LIU Ying-dong.Teaching Method for Two Theorems in Functional
Analysis and Their Applications[J].Mathematics in Practice and Theory,2001,31(2):251-253. |
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| Authors: | LIU Ying-dong |
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| Abstract: | In this paper we discuss the teaching method for Schauder theorem and Arzela Ascoli theorem in functional analysis and use them in a cooperation model to get a sufficient condition ensuring the coexistence of two species. |
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| Keywords: | sequentially compact set fixed point periodic solution |
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