| 一类二阶非自治系统周期解的存在性 |
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| 引用本文： | 史远军.一类二阶非自治系统周期解的存在性[J].中国科学院研究生院学报,1997(1). |
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| 作者姓名： | 史远军 |
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| 作者单位： | 中国科学院数学研究所 北京 |
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| 摘 要： | 在二阶系统一系列定理基础上,建立一个直接根据系统Lyapunov函数性质判定系统周期解存在性的定理,针对一类二阶非自治非线性系统构造了适当的Lyapunov函数,并研究了这类系统周期解的存在性。
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| 关 键 词： | Lyapunov函数 正定 无限大 周期解 |
On the Existence of Periodic Solution for a Kind of Second Order Nonautonomous Systems |
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| Shi Yuanjun.On the Existence of Periodic Solution for a Kind of Second Order Nonautonomous Systems[J].Journal of the Graduate School of the Chinese Academy of Sciences,1997(1). |
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| Authors: | Shi Yuanjun |
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| Abstract: | On the basis of several theorems concerning the second order system and directly based on the properties of systematic Lyapunov function, we establish an existence theorem which may be used to distinguish the existenceness of periodic solution, then, in accordance with a kind of second order nonautonomous and nonlinear systems, we construct some suitable Lyapunov function and study the existence property of periodic solution of these system. |
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| Keywords: | Lyapunov function positive definite indefinite periodic solution |
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