Infinitely many positive periodic solutions for Liénard equations with deviating arguments

• Weibing Wang ^[1] ; Rensen Yu ^[1]
  1. [1] Hunan University of Science and Technology

     Hunan University of Science and Technology

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 25, Nº 1, 2026
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • This paper establishes the existence of infinitely many positive periodic solutions for a class of Liénard equations equations with derivative terms. Via an appropriate transformation, we construct an operator whose fixed points correspond to the periodic solutions of the original equation. By applying Schauder’s fixed point theorem, we prove that under suitable conditions, this operator admits infinitely many positive fixed points.

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