| 一类含有奇点的二阶常微分方程 |
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| 引用本文： | 周艳.一类含有奇点的二阶常微分方程[J].太原师范学院学报(自然科学版),2011,10(4). |
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| 作者姓名： | 周艳 |
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| 作者单位： | 山西大学数学科学学院,山西太原,030006 |
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| 摘 要： | 构造下列方程u″（t）=g（t）/uμ（t）-h（t）/uλ（t）＋f（t）,a.e.t∈0,ω]u（t）=u（ω）,u′（0）=u′（ω）的上下解,给出了方程存在周期解的充分条件.
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| 关 键 词： | 二阶常微分方程 周期解 上解 下解 |
Second-Order Differential Equations with Mixed Type of Singularity |
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| Zhou Yan.Second-Order Differential Equations with Mixed Type of Singularity[J].Journal of Taiyuan Normal University:Natural Science Edition,2011,10(4). |
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| Authors: | Zhou Yan |
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| Institution: | Zhou Yan (School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China) |
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| Abstract: | Suffcient conditions for the existence of periodic solutions with mixed type of singularity for second-order differential equations are obtained.The proof of this results rely on the method of upper and lower solution. |
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| Keywords: | second-order differential eqution periodic solution upper solution lower solution |
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