Existence of harmonic solutions for some generalisation of the non-autonomous Liénard equations

2022 ◽  
Author(s):  
Timoteo Carletti ◽  
Gabriele Villari ◽  
Fabio Zanolin
Keyword(s):  
Liénard Equations

scholarly journals Perturbation theory of a symmetric center within Liénard equations

2015 ◽  
Vol 259 (6) ◽  
pp. 2408-2429 ◽  
Author(s):  
Jean-Pierre Françoise ◽  
Dongmei Xiao
Keyword(s):  
Perturbation Theory ◽  
Liénard Equations

Cubic Lienard equations with linear damping

Nonlinearity ◽  
1990 ◽  
Vol 3 (4) ◽  
pp. 1015-1039 ◽  
Author(s):  
F Dumortier ◽  
C Rousseau
Keyword(s):  
Liénard Equations ◽  
Linear Damping

scholarly journals Polynomial Liénard Equations near Infinity

1999 ◽  
Vol 153 (1) ◽  
pp. 1-29 ◽  
Author(s):  
Freddy Dumortier ◽  
Chris Herssens
Keyword(s):  
Liénard Equations

Periodic solutions of forced Liénard equations with jumping nonlinearities under nonuniform conditions

1988 ◽  
Vol 110 (3-4) ◽  
pp. 183-198 ◽  
Author(s):  
R. Iannacci ◽  
M.N. Nkashama ◽  
P. Omari ◽  
F. Zanolin
Keyword(s):  
Differential Equation ◽  
Asymptotic Behaviour ◽  
Periodic Solutions ◽  
Homogeneous Problem ◽  
A Priori ◽  
Critical Values ◽  
Liénard Equations ◽  
Jumping Nonlinearities ◽  
Existence Of Periodic Solutions ◽  
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SynopsisThis paper is devoted to the existence of periodic solutions for the scalar forced Lienard differential equationThe key assumptions relate the asymptotic behaviour as x →± ∞of g(t; x)/x to the “critical values” of the positively 1-homogeneous problemNo condition on f, except continuity, is assumed. Our approach is based on Leray–Schauder degree techniques and a priori estimates.

scholarly journals Several kinds of oscillations in forced Liénard equations

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Joël Blot ◽  
Souhila Boudjema ◽  
Philippe Cieutat
Keyword(s):  
Liénard Equations
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