par Bonheure, Denis 
;Fabry, Christian;Smets, Dirk
Référence Discrete and continuous dynamical systems, 8, 4, page (907-930)
Publication Publié, 2002
;Fabry, Christian;Smets, DirkRéférence Discrete and continuous dynamical systems, 8, 4, page (907-930)
Publication Publié, 2002
Article révisé par les pairs
| Résumé : | We study the existence of 2π-periodic solutions for forced nonlinear oscillators at resonance, the nonlinearity being a bounded perturbation of a function deriving from an isochronous potential, i.e. a potential leading to free oscillations that all have the same period. The family of isochronous oscillators considered here includes oscillators with jumping nonlinearities, as well as oscillators with a repulsive singularity, to which a particular attention is paid. The existence results contain, as particular cases, conditions of Landesman-Lazer type. Even in the case of perturbed linear oscillators, they improve earlier results. Multiplicity and non-existence results are also given. |
