Nonautonomous nonlinear ODEs: nonresonance conditions and rotation numbers

DOI10.1016/j.jmaa.2018.12.063zbMath1414.34027OpenAlexW2907344377WikidataQ128626857 ScholiaQ128626857MaRDI QIDQ1733799

Carlota Rebelo, Alessandro Margheri, Maurizio Garrione

Publication date: 21 March 2019

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.2018.12.063

zbMATH Keywords

periodic solutionsMorse indexrotation numberLandesman-Lazer conditionPoincaré-Birkhoff theorem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonautonomous smooth dynamical systems (37C60) Rotation numbers and vectors (37E45)

Related Items

Lower bound on the number of periodic solutions for asymptotically linear planar Hamiltonian systems ⋮ Subharmonic solutions for a class of predator-prey models with degenerate weights in periodic environments ⋮ Non-resonance and double resonance for a planar system via rotation numbers

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