一类单侧有界不对称Duffing方程的对称周期解  

Symmetric Periodic Solutions of a Class of Duffing Equationswith One Side Bounded

作　　者：成诚 成红胜 CHENG Cheng;CHENG Hongsheng(School of Mathematics and Statistics,Jiangsu Normal University,Xuzhou 221116,Jiangsu;School of Information Engineering,Yancheng Teacher’s University,Yancheng 224002,Jiangsu)

机构地区：[1]江苏师范大学数学与统计学院,江苏徐州221116 [2]盐城师范学院信息工程学院,江苏盐城224001

出　　处：《四川师范大学学报（自然科学版）》2022年第3期363-369,共7页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(51777180);江苏省自然科学基金(A020202)。

摘　　要：研究一类不对称Duffing方程的对称周期解问题.当外力函数关于时间是偶周期函数时,在一侧回复力有界和另一侧满足半线性条件下证明无穷多个偶次调和解的存在性和偶次调和解的稠密性分布.In this paper,we study the problem of the symmetric periodic solutions of a class of Duffing equations with one side bounded restoring force.When the forcing function is even and periodical,we prove the existence of infinite numbers of even and subharmonic solutions and the dense distribution of them with one side bounded restoring force and the other side is semi-linear.

关 键 词：DUFFING方程 有界回复力 次调和解 对称周期解 

分 类 号：O175.14[理学—数学]