| A Discussion on the Existence of Limit Cycle of Equations =P(y),=Q(x,y) |
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| 引用本文： | 吴葵光.A Discussion on the Existence of Limit Cycle of Equations =P(y),=Q(x,y)[J].数学研究与评论,1983(1). |
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| 作者姓名： | 吴葵光 |
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| 摘 要： | For the system of differential equations having the form (?)=P(y),(?)=Q(x,y), (1) R.M. Cooper has given an analytic criterion for the existence of limit cycle. 1] In which p: R~1→R~1 and Q: R~2→R~1 are everywhere continuous and locally Lipschitzian, Q_y(x,y) is continuous at (0,0) and is defined for all (x,y). His result is as follows:
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