摘要
本文对几类高阶微分系统周期解的存在性问题进行了讨论.应用LiapunovV函数方法和Brouwer不动点定理,给出了周期解存在的充分性条件,推广了关于高阶微分方程系统(1)的有关结论推广到系统(2)和(3)中相应的结论,并举例给以说明.
In this paper, the existence of periodic solutions of higher differential equatioas was discussed. Using Liapunov's V-functions method and Brouwer's fixed point theorem, several sufficient conditions were obtained for verifying, the existence of periodic solutions. An example was given in this paper too.
出处
《北京轻工业学院学报》
1993年第2期78-82,共5页
Journal of Beijing Institute of Light Industry
关键词
高阶微分系统
周期解
不动点
higher differential eguation
periodic solution
fix point