An extension of the Poincaré–Birkhoff Theorem to systems involving Landesman–Lazer conditions-Reference-Cited by-同舟云学术

An extension of the Poincaré–Birkhoff Theorem to systems involving Landesman–Lazer conditions

Published:2024-07-15 Issue: Volume: Page:
ISSN:0035-5038
Container-title:Ricerche di Matematica
language:en
Short-container-title:Ricerche mat

Author:

Fonda Alessandro^ORCID,Mamo Natnael Gezahegn,Sfecci Andrea

Abstract

AbstractWe provide multiplicity results for the periodic problem associated with Hamiltonian systems coupling a system having a Poincaré–Birkhoff twist-type structure with a system presenting some asymmetric nonlinearities, with possible one-sided superlinear growth. We investigate nonresonance, simple resonance and double resonance situations, by implementing some kind of Landesman–Lazer conditions.

Funder

Ministero dell’Istruzione, dell’Università e della Ricerca

Università degli Studi di Trieste

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s11587-024-00875-4.pdf

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