| 具有反馈控制的Logistic扩散系统周期解的存在与稳定 |
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| 引用本文： | 任常茂.具有反馈控制的Logistic扩散系统周期解的存在与稳定[J].长江大学学报(社会科学版),1996(5). |
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| 作者姓名： | 任常茂 |
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| 摘 要： | 利用上下解，Ｂｒｏｕｗｅｒ不动点原理及Ｌｙａｐｕｎｏｖ泛函方法，讨论了一类具有反馈控制的Ｌｏｇｉｓｔｉｃ扩散系统的周期解问题；获得了周期解存在且稳定的判别条件．
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| 关 键 词： | Logistic扩散系统 周期解 稳定性 反馈控制 |
EXISTENCE AND STABILITY OF PERIODIC SOLUTIONS FOR LOGISTIC DIFFUSION SYSTEM WITH FEEDBACK CONTROL |
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| Ren Changmao.EXISTENCE AND STABILITY OF PERIODIC SOLUTIONS FOR LOGISTIC DIFFUSION SYSTEM WITH FEEDBACK CONTROL[J].Journal of Yangtze University:Social Sciences,1996(5). |
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| Authors: | Ren Changmao |
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| Institution: | Department of Mathematics |
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| Abstract: | The stability of periodic solution for Logisitic diffusion systems with feedback control is discussed in this paper,the sufficient conditions for the existence and stability of the periodic solution are given by method of comparison theorems and Brouwer's fixed point theorem and Lyapunov function. |
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| Keywords: | feedback control Logistic diffusion systems periodic solution stability |
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