Riccati方程的一个可积定理

A Integrable Theorem of the Riccati Equation

对著名的Riccati方程引入预解方程、预解常数和判别式的概念,得到了一个新的可积定理,导出了一系列新的实用的可积充分条件,推广了古典的和近代的可积性结果。

This paper intrcduces concepts of resolvent equation, resolvent constants and critical expression into Riccati equation. Thus a series of new practical integrable sufficient conditions are derivend and some classical and modern integrable results are extended.