两类多项式微分系统的可积性问题

Integrability problems for two classes of polynomial differential systems

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.

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.