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.
Papini, D., Villari, G.A.B. (2004). Periodic solutions of a certain generalized Liénard equation. FUNKCIALAJ EKVACIOJ, 47(1), 41-61 [10.1619/fesi.47.41].
Periodic solutions of a certain generalized Liénard equation
PAPINI D.;
2004-01-01
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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https://hdl.handle.net/11365/10545
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