关于代数微分方程的允许解

ON THE ADMISSIBLE SOLUTIONS OF ALGEBRAIC DIFFERENTIAL EQUATIONS

本文讨论了几类代数微分方程允许解的存在性,推广了Laine等人的结果.

In the present paper, some results about the admissible solutions of algebraic differential equations are given. For example, if l≥4, the differential equation (w^1w'+1)~n=(w+1)~p has no admissible solutions for any positive integers n and p.