Nondegeneracy and Uniqueness of Periodic Solution for a Liénard Equation

• Shaowen Yao ^[1] ; Wenjie Li ^[1] ; Zhibo Cheng ^[1]
  1. [1] Henan Polytechnic University

     Henan Polytechnic University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 4, 2022
• Idioma: inglés
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• Resumen

  • In this paper, we consider the nondegeneracy of a Liénard equation x(t) + f (x(t))x (t) + a(t)x(t) = 0.

    Besides, by nondegenerate results and Manásevich-Mawhin continuation theorem, we prove the existence and uniqueness of periodic solution of the related Liénard equation.