一个有界弹性项Duffing方程周期解的存在性

On Existence of Periodic Solution for Some Duffing Equations with Elastic Term of the Limitation

证明了有界弹性项Duffing方程x″+arccotx=p(t)的周期解的存在性,其中周期为2π的连续函数p(t)满足0<p(t)<π,t∈R。

In the paper, we will prove the existence of a periodic solution for Duffing equation with Elastic Term of the Limitation x＂ ＋ arceotx = p （ t ） where continuous 2 - periodic function p （t） satisfies 0 〈 p （t） 〈 π, ↓A∈R.