一类非自治一阶系统周期解的存在性

The Existeme of Periodic Solution for a Kind of no Autonomous Differential Systems

利用首次积分的概念, 以及不动点、拓扑度理论, 得到了一类非自治一阶系统在其对应的齐次方程有非平凡解的条件下, 其周期解存在的两个充分条件.

In this paper, by using the concepts of first integral and the theories of fix fointanel topological degree, a kind of nonautomous differential systems about non-parameter controlling and at the case of its corresponding uniform equation having non-trivial periodic solutions is discussed, the sufficitent condition under which a kind of nonautomous differential systems have at least one periodic solution is obtained.