| 一个稳态人口发展方程的分析 |
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| 引用本文： | 张齐鹏,崔艳英.一个稳态人口发展方程的分析[J].南阳师范学院学报,2011,10(6):11-13. |
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| 作者姓名： | 张齐鹏 崔艳英 |
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| 作者单位： | 1. 南阳师范学院数学与统计学院,河南南阳,473061
2. 北京工业大学耿丹学院基础部,北京,101301 |
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| 基金项目： | 河南省教育厅自然科学基金资助项目，南阳师范学院校级科研基金资助专项项目 |
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| 摘 要： | 对于一般的人口发展方程,不考虑人口的迁移活动,将时间区间单位化,得到一个简化的稳态人口方程模型.用线性算子理论将稳态人口发展方程模型转化为抽象的Cauchy问题,证明了所得到的人口算子为闭的、稠定算子,且可以生成一个压缩（C0）半群.
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| 关 键 词： | 人口算子 C0半群 Hille-Yosida定理 人口发展方程 |
Analysis of the steady-state population development equation |
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| ZHANG Qi-peng,CUI Yan-ying.Analysis of the steady-state population development equation[J].Journal of Nanyang Teachers College,2011,10(6):11-13. |
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| Authors: | ZHANG Qi-peng CUI Yan-ying |
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| Institution: | 1.School of Mathematics and Statistics,Nanyang Normal University,Nanyang 473061,China; 2.Department of Basic Science,Gengdan Institute of Beijing University of Technology,Beijing 101301,China) |
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| Abstract: | A simplified model of the steady-state population equation is received,the time interval is standardized for the general population development equation without regard to the migration of population activities.With the theory of linear operator,we transform model of the steady-state population equation to the Abstract Cauchy problem.The population of the operator to be closed and densely defined are proved.The population of the operator can generate a compression semigroup of class C0. |
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| Keywords: | population operator semi-group of class C0 Hille-Yosida theorem population development equation |
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