Periodic Solutions of a Second Order Discontinuous Nonautonomous Differential Equation

• Fangfang Jiang ^[1] ; Yujuan Chen ^[2] ; Jitao Sun ^[3]
  1. [1] Jiangnan University

     Jiangnan University

     China

     
  2. [2] Nantong University

     Nantong University

     China

     
  3. [3] Tongji University

     Tongji University

     China

     

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 5, 2024
• Idioma: inglés
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• Resumen

  • In this paper, we are concerned with a problem of periodic solution for a second order nonautonomous differential equation with a discontinuity line. Under two types of assumptions, we analyze the geometric properties of solutions respectively. Then by using a fixed point theorem, we obtain several existence criteria of periodic solutions, where the periodic solutions are crossing harmonic and subharmonic solutions.