Funkcialaj Ekvacioj
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Periodic Solutions of a Certain Generalized Liénard Equation
Duccio PapiniGabriele Villari
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2004 Volume 47 Issue 1 Pages 41-61

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Abstract

We are concerned with the existence of at least one periodic solution of a generalized nonlinear Liénard equation with a periodic forcing term. The main tool is a continuation theorem by Capietto, Mawhin and Zanolin. A priori bounds for the periodic solutions are obtained either by studying the behavior of the trajectories of a new equivalent system or by determining the nature of singular points at infinity of suitable autonomous systems in the usual phase plane.

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© 2004 by the Division of Functional Equations, The Mathematical Society of Japan
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