An extension of the Poincaré-Birkhoff theorem coupling twist with lower and upper solutions
DOI10.1016/j.jmaa.2023.127599zbMath1530.37083OpenAlexW4384522701WikidataQ122443744 ScholiaQ122443744MaRDI QIDQ6177094
Alessandro Fonda, Manuel Garzón, Andrea Sfecci
Publication date: 29 August 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127599
lower and upper solutionsHamiltonian systemsperiodic boundary value problemPoincaré-Birkhoff theorem
Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)
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