| 几类高阶微分系统周期解的存在性 |
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| 引用本文： | 周德国,黄锡邦.几类高阶微分系统周期解的存在性[J].北京工商大学学报(自然科学版),1993(2). |
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| 作者姓名： | 周德国 黄锡邦 |
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| 作者单位： | 西北轻工业学院 陕西712081
(周德国)，北京轻工业学院基础部 北京100037(黄锡邦) |
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| 摘 要： | 本文对几类高阶微分系统周期解的存在性问题进行了讨论.应用LiapunovV函数方法和Brouwer不动点定理,给出了周期解存在的充分性条件,推广了关于高阶微分方程系统(1)的有关结论推广到系统(2)和(3)中相应的结论,并举例给以说明.
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| 关 键 词： | 高阶微分系统 周期解 不动点 |
ON THE EXISTENCE OF PERIODIC SOLUTIONS OF HIGHER DIFFERENTIAL EQUATIONS |
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| Zhou Deguo,Huang Xibang Beijing Institute of Light Industry.ON THE EXISTENCE OF PERIODIC SOLUTIONS OF HIGHER DIFFERENTIAL EQUATIONS[J].Journal of Beijing Technology and Business University:Natural Science Edition,1993(2). |
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| Authors: | Zhou Deguo Huang Xibang Beijing Institute of Light Industry |
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| Institution: | Zhou Deguo;Huang Xibang Beijing Institute of Light Industry |
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| Abstract: | In this paper, the existence of periodic solutions of higher differential equatioas was discussed. Using Liapunov's V-functions method and Brouwer's fixed point theorem, several sufficient conditions were obtained for verifying, the existence of periodic solutions. An example was given in this paper too. |
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| Keywords: | higher differential eguation periodic solution fix point |
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