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.info:eu-repo/semantics/publishe
In this paper we investigate the conditions under which periodic solutions of the nonlinear oscillat...
We look for periodic solutions of planar systems obtained by adding an asymptotically positively hom...
AbstractWe look for periodic solutions of planar systems obtained by adding an asymptotically positi...
We study the existence of 2pi-periodic solutions for forced nonlinear oscillators at resonance, the ...
We deal with the existence of quasi-periodic Solutions of forced isochronous oscillators with a repu...
In this paper, the authors are concerned with the forced isochronous oscillators with a repulsive si...
Free and forced oscillations in oscillators governed by the equation [MATHEMATICAL NOTATION GOES HER...
An oscillator is called isochronous if all motions have a common period. When the system is forced b...
AbstractWe consider forced dynamical systems with two degrees of freedom having singular potentials ...
It is proved the existence of Aubry-Mather sets and infinitely many subharmonic solutions to an equa...
<正> In this paper, we consider the differential equationd~2x/dt~2+g(x) = p(t),where g(x)∈ C~1(...
This paper deals with families of periodically forced oscillators undergoing a Hopf-Nĕımarck-Sacker...
Abstract We investigate a second-order periodic system with singular potential and resonance. Utiliz...
AbstractThe existence of periodic solutions for systems of forced pendulum-like equations was studie...
Usually oscillators with periodic excitations show a periodic motion with frequency equal to the for...
In this paper we investigate the conditions under which periodic solutions of the nonlinear oscillat...
We look for periodic solutions of planar systems obtained by adding an asymptotically positively hom...
AbstractWe look for periodic solutions of planar systems obtained by adding an asymptotically positi...
We study the existence of 2pi-periodic solutions for forced nonlinear oscillators at resonance, the ...
We deal with the existence of quasi-periodic Solutions of forced isochronous oscillators with a repu...
In this paper, the authors are concerned with the forced isochronous oscillators with a repulsive si...
Free and forced oscillations in oscillators governed by the equation [MATHEMATICAL NOTATION GOES HER...
An oscillator is called isochronous if all motions have a common period. When the system is forced b...
AbstractWe consider forced dynamical systems with two degrees of freedom having singular potentials ...
It is proved the existence of Aubry-Mather sets and infinitely many subharmonic solutions to an equa...
<正> In this paper, we consider the differential equationd~2x/dt~2+g(x) = p(t),where g(x)∈ C~1(...
This paper deals with families of periodically forced oscillators undergoing a Hopf-Nĕımarck-Sacker...
Abstract We investigate a second-order periodic system with singular potential and resonance. Utiliz...
AbstractThe existence of periodic solutions for systems of forced pendulum-like equations was studie...
Usually oscillators with periodic excitations show a periodic motion with frequency equal to the for...
In this paper we investigate the conditions under which periodic solutions of the nonlinear oscillat...
We look for periodic solutions of planar systems obtained by adding an asymptotically positively hom...
AbstractWe look for periodic solutions of planar systems obtained by adding an asymptotically positi...