数学物理学报(英文版) ›› 2024, Vol. 44 ›› Issue (4): 1524-1535.doi: 10.1007/s10473-024-0418-2

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ON THE STABILITY OF PERIODIC SOLUTIONS OF PIECEWISE SMOOTH PERIODIC DIFFERENTIAL EQUATIONS

Maoan Han*, Yan Ye   

  1. School of Mathematical Sciences, Zhejiang Normal University, Jinhua 321000, China
  • 收稿日期:2022-10-08 出版日期:2024-08-25 发布日期:2024-08-30

ON THE STABILITY OF PERIODIC SOLUTIONS OF PIECEWISE SMOOTH PERIODIC DIFFERENTIAL EQUATIONS

Maoan Han*, Yan Ye   

  1. School of Mathematical Sciences, Zhejiang Normal University, Jinhua 321000, China
  • Received:2022-10-08 Online:2024-08-25 Published:2024-08-30
  • Contact: *E-mail: mahan@shnu.edu.cn
  • About author:E-mail: yanyemengyi@163.com
  • Supported by:
    This work was supported by the NSFC (11931016).

摘要: In this paper, we address the stability of periodic solutions of piecewise smooth periodic differential equations. By studying the Poincaré map, we give a sufficient condition to judge the stability of a periodic solution. We also present examples of some applications.

关键词: periodic solution, Poincaré map, periodic equation, stability

Abstract: In this paper, we address the stability of periodic solutions of piecewise smooth periodic differential equations. By studying the Poincaré map, we give a sufficient condition to judge the stability of a periodic solution. We also present examples of some applications.

Key words: periodic solution, Poincaré map, periodic equation, stability

中图分类号: 

  • 34C25