We are concerned with the existence of at least one periodic solution of a generalized nonlinear Lienard 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. © 2004, Division of Functional Equations, The Mathematical Society of Japan. All rights reserved.
Periodic Solutions of a Certain Generalized Liénard Equation / Papini, D.; Villari, G.. - In: FUNKCIALAJ EKVACIOJ. - ISSN 0532-8721. - 47:1(2004), pp. 41-61. [10.1619/fesi.47.41]
Periodic Solutions of a Certain Generalized Liénard Equation
Papini D.;
2004
Abstract
We are concerned with the existence of at least one periodic solution of a generalized nonlinear Lienard 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. © 2004, Division of Functional Equations, The Mathematical Society of Japan. All rights reserved.
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