Limit cycles for fourth-order autonomous differential equations

Jaume Llibre, Amar Makhlouf

Research output: Contribution to journalArticleResearchpeer-review


Abstract. We provide sufficient conditions for the existence of periodic solutions of the fourth-order differential equation where λ, μ and ε are real parameters, ε is small and F is a nonlinear function. © 2012 Texas State University - San Marcos.
Original languageEnglish
JournalElectronic Journal of Differential Equations
Publication statusPublished - 7 Feb 2012


  • Averaging theory
  • Fourth-order differential equation
  • Periodic orbit

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