一类非自治系统的周期解  

The Periodic Solution for a Kind of Nonautonomous Differential Systems

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1期82-83,共2页

摘　　要：本文利用首次积分的概念及不动点理论,讨论了一类非自治系统,并在其对应的齐次方程有非平凡解的条件下,得到了一类非自治系统周期解存在的充分条件.In this paper, using the concepts of first integral and the theory of fix point, we discuss a kind of nonautomous differential systems, and at the case of its corresponding uniform equation has non-trivial periodic solutions, obtain the sufficient condition under which a kind of nonautonomous differential systems have at least one periodic solution.

关 键 词：周期解 首次积分 不动点 

分 类 号：O175.5[理学—数学]