关于Riccati方程的几个性质及应用

On Some Propertions of Riccati Equation and Their Application

Riccati方程的解一般是不能用初等函数给出的. 文章给出了一般Riccati方程的几个性质并运用这些性质可将Riccati方程化简. 同时介绍了一类Riccati方程可积的条件,并进行了一定的推广, 得出了两个结论.

Generally, the solution of Riccati equation cannot be given through elementary function. The paper here gives several propertions of Riccati equation,and the equation can be simplified by the several propertions. Further, the soluble conditions of the equation have been introduced in the paper, and the condition has been extended with obtaining two conclusions.