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On the Integrability and Equivalence of the AbelEquation and Some Polynomial Equations |
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| Authors: | Yuexin Yan Yingxin Pan Feifei Lu Zhengxin Zhou |
| Affiliation: | Guangling College, Yangzhou University, Yangzhou, Jiangsu 225009, China;Department of Mathematics and Physics, Nantong Teachers College, Nan-tong, Jiangsu 226006, China;School of Mathematical Sciences, Yangzhou University, Yangzhou, Jiangsu225009, China |
| Abstract: | In this paper, first of all we give the necessary and sufficient con-ditions of the center of a class of planar quintic differential systems by usingreflecting function method, and provide a simple proof of this results. Sec-ondly, We use the reflecting integral to research the equivalence of the Abelequation and some complicated equations and derive their center conditionsand discuss their integrability. |
| Keywords: | Center condition integrability reflecting integral equivalence |
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