Periodic Solutions of Discontinuous Duffing Equations

• Jiang Fangfang ^[1]
  1. [1] Jiangnan University

     Jiangnan University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 19, Nº 3, 2020
• Idioma: inglés
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• Resumen

  • In this paper, we investigate the multiplicity problem of periodic solutions for a class of periodically forced Duffing equations allowing for discontinuities. By using a generalized form of the Poincaré–Birkhoff theorem due to Ding (Proc Am Math Soc 88:341–346, 1983), we demonstrate that the discontinuous equation has an infinite number of periodic solutions with large amplitude.