| 具有反馈控制的概周期Kolmogorov型系统 |
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| 引用本文： | 高荣,曼合布拜.具有反馈控制的概周期Kolmogorov型系统[J].新疆大学学报(理工版),2009,26(3):297-303,310. |
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| 作者姓名： | 高荣 曼合布拜 |
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| 作者单位： | 新疆大学数学与系统科学学院,新疆乌鲁木齐830046 |
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| 基金项目： | The National Natural Science Foundation of P.R.China，The Major Project of The Ministry of Education of P.R.China，The Scientific Research Programmes of Colleges in Xinjiang |
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| 摘 要： | 研究了一般的具有反馈控制的Kolmogorov型概周期Ⅳ种群竞争系统．利用Schauder不动点定理，Ascoli—Arzela定理和概周期微分方程理论得到了判定正概周期解存在的一个新的准则．
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| 关 键 词： | Kolmogorov系统 概周期解 Ascoli—Arzela定理 Schauder不动点定理 反馈控制 |
The Almost Periodic Kolmogorov System with Feedback Controls |
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| Institution: | GAO Rong, Mehbuba Rehim (College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, China) |
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| Abstract: | In this paper, general almost periodic n-species Kolmogorov type competitive systems with feedback controls are studied. By applying Schauder＇s fixed point theorem, Ascoli-Arzela theorem and the theory of almost periodic differential equations, a new criterion on the existence of positive almost periodic solutions is obtained. |
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| Keywords: | Kolmogorov system Almost periodic solution Ascoli-Arzela theorem Schauder's fixed point theorem Feedback control |
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