一类偶次周期Riccati型方程的周期解

Periodic solutions on a class of periodic Riccati-type equation with the even degree

利用代数方程的性质和不动点原理,对一类偶次周期Riccati型方程的周期解的存在性进行了研究,给出了周期解存在的若干充分条件,从而推广了秦元勋等关于Riccati方程周期解的一些结果.

This paper studies the existence of periodic solutions on periodic Riccatitype equation with periodic coefficients by means of fixed theorem and properties of algebraic equation and gives some sufficient conditions. Some conclusions on Riccati equation obtained by Qin Yuan-xun are extended.