Periodic solutions of second-order differential equations in Hilbert spaces

DOI10.1007/s00009-021-01857-8zbMath1482.34110OpenAlexW3197475765WikidataQ115390246 ScholiaQ115390246MaRDI QIDQ821547

Giuliano Klun, Andrea Sfecci, Alessandro Fonda

Publication date: 20 September 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-021-01857-8

zbMATH Keywords

periodic solutionslower and upper solutionsdegree theoryinfinite-dimensional dynamical systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20)

Related Items (7)

Non-well-ordered lower and upper solutions for semilinear systems of PDEs ⋮ An extension of the Poincaré-Birkhoff theorem coupling twist with lower and upper solutions ⋮ 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 ⋮ Existence of solutions for time second order nonmonotone differential equations involving convex potentials with periodic and anti-periodic boundary conditions ⋮ Unbounded solutions to systems of differential equations at resonance

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