Duffing方程的遥远概周期解  

Remotely Almost Periodic Solutions of Duffing Equations

作　　者：耿祥森 Geng Xiangsen(School of Mathematical Sciences,Ocean University of China,Qingdao 266100,China)

机构地区：[1]中国海洋大学数学科学学院,山东青岛266100

出　　处：《中国海洋大学学报（自然科学版）》2023年第9期154-158,共5页Periodical of Ocean University of China

基　　金：国家自然科学基金项目(11971059)资助。

摘　　要：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.

关 键 词：遥远概周期函数 指数二分性 DUFFING方程 上下解 

分 类 号：O175.3[理学—数学]