We prove a multiplicity result for the periodic problem associated with a Hamiltonian system whose Hamiltonian function has a twisting part and a nonresonant part. The possible approach to resonance together with some kind of Landesman–Lazer conditions is also analyzed. We propose a new version of this condition, and we also treat the so-called double resonance situation.
Multiplicity of Periodic Solutions for Nearly Resonant Hamiltonian Systems
Fonda A.;Sfecci A.;Toader R.
2025-01-01
Abstract
We prove a multiplicity result for the periodic problem associated with a Hamiltonian system whose Hamiltonian function has a twisting part and a nonresonant part. The possible approach to resonance together with some kind of Landesman–Lazer conditions is also analyzed. We propose a new version of this condition, and we also treat the so-called double resonance situation.File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
