Duffing方程的遥远概周期解

Remotely Almost Periodic Solutions of Duffing Equations

本文通过指数二分性和上下解方法,在比较自然的条件下,证明了二阶非线性常微分方程u″+cu′+g(u)=p(t)的遥远概周期解的存在性,其中g∈C1(R),而p是遥远概周期函数。

In this article,by using the exponential dichotomy theory and the method of upper and lower solutions,under some natural conditions,we prove the existence of remotely almost periodic solutions for the differential equations u″+cu′+g(u)=p(t),where g∈C 1(R),p is a remotely almost periodic function.