Work

Multiplicity of Periodic Solutions for Nearly Resonant Hamiltonian Systems

Year: 2025

Type: article

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.

Source: Milan Journal of Mathematics

DOI: 10.1007/s00032-025-00412-4

Authors: Alessandro Fonda, Andrea Sfecci, Rodica Toader

Institution: University of Trieste

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Ministero dell’Istruzione, dell’Università e della Ricerca, Università degli Studi di Trieste