数学物理学报 ›› 2022, Vol. 42 ›› Issue (2): 463-469.

• 论文 • 上一篇    下一篇

一类二阶Duffing方程反周期解的存在性和多重性

兰军*()   

  1. 武汉纺织大学管理学院 武汉 430200
  • 收稿日期:2021-03-03 出版日期:2022-04-26 发布日期:2022-04-18
  • 通讯作者: 兰军 E-mail:379362996@qq.com

Existence and Multiplicity of Anti-Periodic Solutions for a Class of Second Order Duffing Equation

Jun Lan*()   

  1. School of Management, Wuhan Textile University, Wuhan 430200
  • Received:2021-03-03 Online:2022-04-26 Published:2022-04-18
  • Contact: Jun Lan E-mail:379362996@qq.com

摘要:

采用变分方法证明了一类带反周期边界条件的二阶Duffing方程解的存在性和多重性.

关键词: 反周期解, Duffing方程, 变分方法

Abstract:

In this paper, we establish the existence and multiplicity of solutions for second order Duffing equations with anti-periodic boundary conditions through using variational approach.

Key words: Anti-periodic solution, Duffing equation, Variational approach

中图分类号: 

  • O175.12