Resonance at the first eigenvalue for first-order systems in the plane: vanishing Hamiltonians and the Landesman-Lazer condition

zbMath1265.34058MaRDI QIDQ454528

Maurizio Garrione

Publication date: 8 October 2012

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

resonanceLandesman-Lazer conditionvanishing Hamiltonian

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Applications of operator theory to differential and integral equations (47N20)

Related Items (3)

Infinitely many periodic solutions of planar Hamiltonian systems via the Poincaré-Birkhoff theorem ⋮ Nonautonomous nonlinear ODEs: nonresonance conditions and rotation numbers ⋮ A continuation lemma and the existence of periodic solutions of perturbed planar Hamiltonian systems with sub-quadratic potentials

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