关于高维非自治系统周期解的判据

THE CRITERIEN OF PERIODIC SOLUTION OF HIGH DIMENSIONAL NONAUTONENOUS DIFFERENTIAL SYSTEMS

本文利用拓扑度的理论，研究了ｎ阶非线性系统 得到，若系统（＊）对应的齐次方程 无非平凡ω周期解，系统（＊）的ω周期解存在及其个数的重要判据．

In this paper, we discuss the existence of periodic solution of high dimensional system by using the theory of topological degree, a sufficient condition in which the system has at least a nontrival ω- periodic solution is obtained,where homogeneous equation has not nontrival ω- periodic solution.