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<p>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.</p>

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Infinitely many positive periodic solutions for Liénard equations with deviating arguments

  • 期刊论文

  • 发表日期：

    2026年1月2日

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  • Weibing Wang,
  • Rensen Yu

摘要

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.