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
periodic solution
topological degree
fix point
