Non-degeneracy and Uniqueness of Periodic Solutions for a Liénard Equation with a Linear Difference Operator

• Zhibo Cheng ^[1] ; Yafei Li ^[1]
  1. [1] Henan Polytechnic University

     Henan Polytechnic University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 3, 2024
• Idioma: inglés
• DOI: 10.1007/s12346-024-00973-6
• Enlaces
  • Texto completo
• Resumen

  • In this paper, we investigate the non-degeneracy of a Liénard equation with a linear difference operator by means of the generalized Wirtinger inequality. In addition, by the non-degenerate results and an extension of Mawhin’s continuation theorem, the existence and uniqueness of periodic solutions for a Liénard equation with a linear difference operator are proved.

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