| 两类四阶非线性非自治微分方程的不稳定性 |
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| 引用本文： | 秦宏立,柳苗.两类四阶非线性非自治微分方程的不稳定性[J].河南科学,2013(11):1837-1841. |
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| 作者姓名： | 秦宏立 柳苗 |
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| 作者单位： | 延安大学数学与计算机学院,陕西延安716000 |
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| 基金项目： | 陕西省高水平大学建设专项资金资助项目（2012SXTS07）;陕西省教育厅科研计划资助项目（2013JK0577） |
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| 摘 要： | 通过构造Lyapunov函数的方法，讨论了两类四阶非线性非自治微分方程平凡解不稳定性，给出了其平凡解不稳定的充分条件，从而推广了相应文献的已有结果。
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| 关 键 词： | 非线性 非自治方程 不稳定性 Lyapunov函数 |
Instability of Two Kinds of Four Order Nonlinear Nonautonomous Differential Equations |
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| Qin Hongli,Liu Miao.Instability of Two Kinds of Four Order Nonlinear Nonautonomous Differential Equations[J].Henan Science,2013(11):1837-1841. |
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| Authors: | Qin Hongli Liu Miao |
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| Institution: | (College of Mathematics and Computer Science, Yan＇ an University, Yan＇ an 716000, Shaanxi China) |
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| Abstract: | By the methods of constructing Lyapuno v functions,we discussed the instability of two kinds of four order nonlinear nonautonomous differential equations,and gave the sufficient conditions for the trivial solution that is not stable. Futhermore,the study extended the corresponding results in recent literatures. |
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| Keywords: | nonlinear nonautonomous equations instability Lyapunov function |
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