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

作　　者：应益荣[1] 梁家荣[1] 张棣[1] 

机构地区：[1]西北大学

出　　处：《纯粹数学与应用数学》1995年第1期90-94,共5页Pure and Applied Mathematics

摘　　要：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.

关 键 词：拓扑度 周期解 非自治系统 存在性 非线性系统 

分 类 号：O175.12[理学—数学]