| 四阶非线性周期系统的平稳振荡 |
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| 引用本文： | 章荣发.四阶非线性周期系统的平稳振荡[J].新疆大学学报(理工版),1995(2). |
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| 作者姓名： | 章荣发 |
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| 作者单位： | 伊犁师院 |
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| 摘 要： | 本文用Ｌｉａｐｕｎｏｖ方法研究了四阶非线性、非自治、非齐次周期系统周期解的存在性、唯一性和稳定性，并得保证周期解存在、唯一和渐近稳定的某些充分条件．
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| 关 键 词： | 周期解，存在性，唯一性，渐近稳定性 |
Exsistence and Stability of Periodic Solution for Fourth-order Nonlinear Periodic Systems |
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| Zhang Rongfa.Exsistence and Stability of Periodic Solution for Fourth-order Nonlinear Periodic Systems[J].Journal of Xinjiang University(Science & Engineering),1995(2). |
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| Authors: | Zhang Rongfa |
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| Institution: | Yili Teacher's College .Yili |
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| Abstract: | In this paper,we study the exsistence,uniqueness and stability of the periodic solutions for fourth-order nonlinear, nonautonomous and nonhomogeneous periodic systems by using the method of Liapunov's function.We obtian some suflicient conditions which guarentee the exsistance,uniqueness and asymptotic stability of the periodic solutions of these systems. |
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| Keywords: | periodic solutions existence uniqueness asymptotic stability |
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