| 平面自治系统闭轨的不存在性 |
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| 引用本文： | 章仰文,韩茂安.平面自治系统闭轨的不存在性[J].上海交通大学学报,1999,33(6):674-675,679. |
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| 作者姓名： | 章仰文 韩茂安 |
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| 作者单位： | 上海交通大学,应用数学系,上海,200030 |
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| 摘 要： | 关于Ｌｉｅｎａｒｄ方程ｘ＋ｆ（ｘ，ｘ）ｙ＋ｇ（ｘ）＝０或它的等价形式ｘ＝ｙ，ｙ＝－ｆ（ｘ，ｙ）ｙ－ｇ（ｘ）的闭轨不存在性已有大量研究，本文考虑一般的平面自治系统ｘ＝Ｐ（ｘ，ｙ），ｙ＝Ｑ（ｘ，ｙ）得到了闭轨不存在的两个充分条件。
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| 关 键 词： | 自治系统 周期解 不存在性 平面系统 |
Nonexistence of Periodic Solutions for Autonomous Planar System |
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| ZHANG Yang-wen,HAN Mao-an.Nonexistence of Periodic Solutions for Autonomous Planar System[J].Journal of Shanghai Jiaotong University,1999,33(6):674-675,679. |
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| Authors: | ZHANG Yang-wen HAN Mao-an |
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| Abstract: | It has been widely studied for the nonexistence of periodic solution of the Lienard equation f(x,)y g(x)=0 or its equivalent form =y, =-f(x,y)y-g(x). This paper considered the autonomous planar system =P(x,y), =Q(x,y). Two sufficient conditions of the nonexistence of periodic solution were given. |
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| Keywords: | autonomous system periodic solutions nonexistence |
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