| 常系数线性中立型微分方程周期解存在唯一的充要条件 |
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| 引用本文： | 赵玉鹏,邓飞其.常系数线性中立型微分方程周期解存在唯一的充要条件[J].佳木斯大学学报,1994(2). |
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| 作者姓名： | 赵玉鹏 邓飞其 |
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| 作者单位： | 东北重型机械学院 |
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| 摘 要： | 本文利用Fourier级数讨论具有常系数的任意阶中立型泛函微分方程的周期解，除一种特殊情况外，我们得到了用有限代数方程组描述的周期解存在唯一性的充要条件，对这种特例，我们也得到了若干实用结果．
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| 关 键 词： | 中立型泛函微分方程 周期解 存在性 唯一性 充要条件 |
NECESSARY AND SUFFICIENT CONDITIONS FOR EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS OF NEUTRAL LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS |
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| Zhao Yupeng, Deng Feiqi.NECESSARY AND SUFFICIENT CONDITIONS FOR EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS OF NEUTRAL LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS[J].Journal of Jiamusi University(Natural Science Edition),1994(2). |
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| Authors: | Zhao Yupeng Deng Feiqi |
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| Institution: | Northeast Institute of Heavy Machinery |
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| Abstract: | In this paper,we investigate the periodic solutions of neutral Iinear func tional differential equations of arbitrary orders with constant coefficinets by Fourierseriese We obtain the necessary and sufficlent conditions for the existence and uniqueness of periodic solutions by finite systems of linear algear algebraic equations except for one special case For the special case,we also give some applicable results. |
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| Keywords: | neutral functional differential equation periodic solution existence uniqueness necessary and sufficient condition |
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