| 二阶常系数线性中立型方程的周期解 |
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| 引用本文： | 褚庭有.二阶常系数线性中立型方程的周期解[J].齐齐哈尔大学学报(自然科学版),1996(3). |
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| 作者姓名： | 褚庭有 |
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| 作者单位： | 齐齐哈尔轻工学院基础部 |
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| 摘 要： | 利用Ｆｏｕｒｉｅｒ级数理论研究了自由项为ｅ－βｔｆ（ｔ）的二阶常系数线性中立型方程的周期解问题，给出了周期解存在、唯一的充要条件，并由此得到若干简便的判别法则，改进并推广了一些已知的结果。
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| 关 键 词： | 中立型方程，周期解，付里叶级数理论 |
Periodic Solution of Second Order Linear Neutral Delay Differential Equations with Constant Coefficients |
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| ChuTingyou.Periodic Solution of Second Order Linear Neutral Delay Differential Equations with Constant Coefficients[J].Journal of Qiqihar University(Natural Science Edition),1996(3). |
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| Authors: | ChuTingyou |
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| Institution: | Qiqihar Light Industry Institute |
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| Abstract: | The periodic solutions of second order linear neutral delay differential equations with constant cofficients are investigted by means of theary of fourier series. The necessary and sufficient conditions for the existence and uniqueness of periodic solutions of the equations are obtained. Furthmore, some brief and practical criteria are given. Some known results are generalized and imporved. |
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| Keywords: | Neutral delay differential equations Periodic solution Fourier series |
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