Chinese Quarterly Journal of Mathematics >

2025 , Vol. 40 >Issue 2: 180 - 202

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2025.02.006

Boundedness in Discontinuous Oscillations at Nonresonance

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  • School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454003, China
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.

Received date: 2024-11-02

  Online published: 2025-06-30

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).

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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

Cite this article

BIAN Jing-ke, LIU Jie . Boundedness in Discontinuous Oscillations at Nonresonance[J]. Chinese Quarterly Journal of Mathematics, 2025 , 40(2) : 180 -202 . DOI: 10.13371/j.cnki.chin.q.j.m.2025.02.006

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