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.. - In: MILAN JOURNAL OF MATHEMATICS. - ISSN 1424-9286. - 93:1(2025), pp. 49-73. [10.1007/s00032-025-00412-4]
Multiplicity of Periodic Solutions for Nearly Resonant Hamiltonian Systems
Fonda A.Primo
;Sfecci A.
Secondo
;Toader R.Ultimo
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:
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