| 摘要: |
| 利用伪除法给出了一类复多项式微分系统奇点量的计算方法,得到了两类复多项式微分系统可积的充要条件,并通过构造积分因子或形式首次积分验证了所得条件的正确性. |
| 关键词: 多项式微分系统 可积性 积分因子 奇点量 |
| DOI： |
| 分类号: |
| 基金项目:数学天元基金(11226041) |
|
| Integrability problems for two classes of polynomial differential systems |
|
SANG Bo
|
|
School of Mathematical Sciences,Liaocheng university
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| Abstract: |
| This paper,using pseudo-division algorithm,introduces a method for computing singular point values of a class of complex polynomial differential systems,establishes the necessary and sufficient conditions for integrability of two classes of complex polynomial differential systems,and verifies all these conditions by constructing integrating factors or formal first integrals. |
| Key words: polynomial differential systems integrability integrating factor singular point quantities |
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