一类非线性非自治系统周期解的存在性

EXISTENCE OF PERIODIC SOLUTIONS TO A CLASS OF NONLINEAR NON AUTONOMOUS SYSTEMS

本文给出了系统ｄｘｄｔ＝Ａ（ｔ）ｘ＋ｇ（ｔ，ｘ），ｔ∈Ｒ′，ｘ∈ＲＮ，ω周期解存在的充分条件。

Sufficient conditions for the existence of periodic solutions of nonlinear non autonomous system (1.1) are given in this paper. The result extended the Krasnoselskii result in .