| ON THE EQUIVALENCE OF AUTONOMOUS AND NONAUTONOMOUS DIFFERENTIAL SYSTEMS |
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| 作者姓名： | Zhou Zhengxin Zhang Shanlin |
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| 作者单位： | Dept. of Math.，Yangzhou University，Yangzhou 225002 |
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| 基金项目： | Supported by the Natural Science Foundation of Jiangsu Educational Committee (02KJB110009). |
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| 摘 要： | Using reflecting function of Mironenko we construct some nonautonomous differential systems which are equivalent to the given autonomous differential systems. The results are applied to discuss the existence and stability of periodic solution of these nonautonomous nonlinear differential systems.
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| 关 键 词： | 微分方程 自治系统 非自治系统 反射函数 等值性 周期解 |
ON THE EQUIVALENCE OF AUTONOMOUS AND NONAUTONOMOUS DIFFERENTIAL SYSTEMS |
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| Zhou Zhengxin Zhang Shanlin.ON THE EQUIVALENCE OF AUTONOMOUS AND NONAUTONOMOUS DIFFERENTIAL SYSTEMS[J].微分方程年刊(英文版),2005,21(3):529-532. |
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| Authors: | Zhou Zhengxin Zhang Shanlin |
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| Institution: | Dept. of Malh., Yangzhou University, Yangzhou 225002 |
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| Abstract: | Using reflecting function of Mironenko we construct some nonautonomous differential systems which are equivalent to the given autonomous differential systems. The results are applied to discuss the existence and stability of periodic solution of these nonautonomous nonlinear differential systems. |
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| Keywords: | nonautonomous system reflective function equivalence periodic solution |
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