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

Autor: Fonda, Alessandro, Mamo, Natnael Gezahegn, Sfecci, Andrea
Zdroj: Ricerche di Matematica; Nov2024, Vol. 73 Issue 5, p2877-2900, 24p
Abstrakt: We 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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