Chinese Quarterly Journal of Mathematics ›› 2025, Vol. 40 ›› Issue (2): 180-202.doi: 10.13371/j.cnki.chin.q.j.m.2025.02.006

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Boundedness in Discontinuous Oscillations at Nonresonance

  

  1. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454003, China
  • Received:2024-11-02 Online:2025-06-30 Published:2025-06-30
  • About author:BIAN Jing-ke (1999-), female, native of Xinxiang, Henan, master student of Henan Polytechnic University; LIU Jie (1985-), male, native of Jiaozuo, Henan, associate professor of Henan Polytechnic University, engages in ordinary differential equations and dynamical systems.
  • Supported by:
    Supported by Key Research Funds for the Universities of Henan Province (Grant No. 19A110018); Foundation for Key Teacher of Henan Polytechnic University (Grant No. 2022XQG-09).

Abstract: In this paper, we first consider a specific discontinuous differential equation for a smooth and discontinuous (SD) oscillator

Key words: Non-smooth dynamical systems, Boundedness of solutions, SD oscillator

CLC Number: