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| PROPERTIES OF CHARACTERISTIC FUNCTIONS AND EXISTENCE OF LIMIT CYCLES OF LIENARD'S EQUATION |
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Citation： |
Chen Xiudong.PROPERTIES OF CHARACTERISTIC FUNCTIONS AND EXISTENCE OF LIMIT CYCLES OF LIENARD'S EQUATION[J].Chinese Annals of Mathematics B,1983,4(2):207~216 |
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Net amount： 791 |
Authors： |
Chen Xiudong; |
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| Abstract： |
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 of [6], Theorem 9 of [8] and Theorems 1, 2 of [9] respectively. |
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