Well-ordered and non-well-ordered lower and upper solutions for periodic planar systems

DOI10.1515/ans-2021-2117zbMath1471.34074OpenAlexW3131805333MaRDI QIDQ2041954

Andrea Sfecci, Giuliano Klun, Alessandro Fonda

Publication date: 26 July 2021

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2021-2117

zbMATH Keywords

lower and upper solutionsperiodic systemsdegree theory

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Applications of operator theory to differential and integral equations (47N20)

Related Items

Periodic solutions of second-order differential equations in Hilbert spaces ⋮ Periodic solutions to superlinear indefinite planar systems: a topological degree approach ⋮ Periodic solutions of Hamiltonian systems coupling twist with generalized lower/upper solutions ⋮ An extension of the Poincaré-Birkhoff theorem coupling twist with lower and upper solutions ⋮ A lower/upper solutions result for generalised radial \(p\)-Laplacian boundary value problems ⋮ Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions ⋮ Two-point boundary value problems for planar systems: a lower and upper solutions approach ⋮ On the Dirichlet problem associated with bounded perturbations of positively-\((p, q)\)-homogeneous Hamiltonian systems

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