关于一类非自治系统的周期解  

On the Periodic Solution for a Kind of Nonautonomous Differential System

作　　者：马荣国[1] 

机构地区：[1]西安公路学院图书馆

出　　处：《西安公路学院学报》1992年第4期100-102,共3页

摘　　要：本文是作者工作的继续,利用非线性泛函分析中拓扑度理论讨论了一类非自治系统并在其对应的齐次方程有非平凡周期解的条件下得到一类非自治系统周期解存在的又一充分条件.In this paper, using the theory of topological degrre, we discuss a kind of nonantomous differential systems, and at the case of its corresponding uniform equation has no-trivial periodic solution, obtain the sufficient condition under which the system has at least one periodic solution.

关 键 词：周期解 不动点 映射度 

分 类 号：O175.12[理学—数学]