Limit cycles for fourth-order autonomous differential equations

We provide sufficient conditions for the existence of periodic solutions of the fourth-order differential equation $$ ddddot x -(lambda+mu) dddot x +(1+lambda mu)ddot x -(lambda+mu)dot x+lambda mu x = varepsilon F(x, dot x, ddot x, dddot x), $$ where $lambda$, $mu$ and $varepsilon$ are real p...

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Bibliographic Details
Main Authors: Jaume Llibre, Amar Makhlouf
Format: Article
Language:English
Published: Texas State University 2012-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/22/abstr.html