| 不动点定理在生物种群模型中的应用 |
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| 引用本文： | 张琴,安玉萍.不动点定理在生物种群模型中的应用[J].吉林建筑工程学院学报,2007,24(3):85-90. |
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| 作者姓名： | 张琴 安玉萍 |
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| 作者单位： | 吉林建筑工程学院基础科学部,长春,130021 |
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| 摘 要： | 在微分方程、积分方程、差分方程等诸多问题的研究中,将所考虑的方程转化不动点方程Fx=x(其中F是某算子),这是一个非常重要的方法.论述了Banach压缩映像原理,Brouwer不动点定理,Shauder不动点定理及新的不动点定理,并且,给出这几个不动点定理在生物种群模型中的应用.
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| 关 键 词： | 不动点定理 连续算子 生物种群模型 |
| 文章编号： | 1009-1288（2007）03-0085-06 |
| 修稿时间： | 2006-06-05 |
Fixed Ponint Theorems Application in the Model of the Population Evolution |
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| ZHANG Qin,AN Yu-ping.Fixed Ponint Theorems Application in the Model of the Population Evolution[J].Journal of Jilin Architectural and Civil Engineering,2007,24(3):85-90. |
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| Authors: | ZHANG Qin AN Yu-ping |
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| Affiliation: | Department of Basic Science,Jilin Architectural and Civil Engineering Inustitute, Changchun 130021 |
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| Abstract: | The problems of differantial equation,integal equation,difference equation are discussed,we tranfor the fixed point from the equation for Fx=x(F is the operator).The method is very important.We discussed Banach compression image principle,Brouwer fixed point theorem,Shauder fixed point theorem and new fixed point theorem apply to the model of the population evolution. |
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| Keywords: | fixed point theorem continuous operator the population evolution |
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