| 一类四阶非线性动力系统概周期解的研究 |
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| 引用本文： | 刘俊. 一类四阶非线性动力系统概周期解的研究[J]. 曲靖师范学院学报, 2003, 22(6): 14-17 |
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| 作者姓名： | 刘俊 |
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| 作者单位： | 曲靖师范学院,数学系,云南,曲靖,655000 |
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| 基金项目： | 曲靖师范学院立项资助课题“非线性动力系统解的属性研究”( 0 3 1 1 90 1 ) |
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| 摘 要： | 运用Leray—Schauder不动点定理和Liapunov函数方法，研究了一类四阶非线性动力系统的概周期解，给出了保证该动力系统概周期解存在的充分条件．
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| 关 键 词： | 概周期解 存在性 Hapunov函数 |
| 文章编号： | 1009-8879(2003)06-0014-04 |
| 修稿时间： | 2003-10-28 |
Study of the almost periodic solutions for a class of fourth order nonlinear dynamical systems |
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| LIU Jun. Study of the almost periodic solutions for a class of fourth order nonlinear dynamical systems[J]. Journal of Qujing Normal College, 2003, 22(6): 14-17 |
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| Authors: | LIU Jun |
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| Abstract: | The almost periodic solutions for a class of fourth order nonlinear dynamical systems are studied by using the Lerag-Schauder fixed point theorem and the method of Liapunov functions. We obtain the sufficient conditions which guarantee the existence of the almost periodic solutions of the dynamical systems. |
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| Keywords: | almost periodic solution existence Liapunov function |
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