PROPERTIES OF CHARACTERISTIC FUNCTIONS AND EXISTENCE OF LIMIT CYCLES OF LI(?)NARD'S EQUATION |
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引用本文: | 陈秀东.PROPERTIES OF CHARACTERISTIC FUNCTIONS AND EXISTENCE OF LIMIT CYCLES OF LI(?)NARD''''S EQUATION[J].数学年刊B辑(英文版),1983(2). |
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作者姓名: | 陈秀东 |
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作者单位: | Institute of |
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摘 要: | In this paper, the author considers Lienard's equation, studies the properties of so-called characteristic functions and gives three theorems which ensure that the equation has at least one limit cycle. The theorems generlize Filippov's Theorem which is a repesentative result, Dragilev's Theorem, Theorem 1, 2 of6], Theorem 9 of8] and Theorems 1, 2 of9] respectively.
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