Double resonance with Landesman-Lazer conditions for planar systems of ordinary differential equations

DOI10.1016/j.jde.2010.08.006zbMath1227.34037OpenAlexW1982172062MaRDI QIDQ619879

Maurizio Garrione, Alessandro Fonda

Publication date: 18 January 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.08.006

zbMATH Keywords

periodic solutionsrotation numberdouble resonanceplanar systems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25)

Related Items (14)

Periodic impact motions at resonance of a particle bouncing on spheres and cylinders ⋮ A systematic approach to nonresonance conditions for periodically forced planar Hamiltonian systems ⋮ Landesman-Lazer conditions for resonant \(p\)-Laplacian problems with jumping nonlinearities ⋮ Double resonance for one-sided superlinear or singular nonlinearities ⋮ Planar Hamiltonian systems at resonance: the Ahmad-Lazer-Paul condition ⋮ Double resonance in Sturm-Liouville planar boundary value problems ⋮ Periodic solutions of indefinite planar systems with asymmetric nonlinearities via rotation numbers ⋮ A general method for the existence of periodic solutions of differential systems in the plane ⋮ Nonautonomous nonlinear ODEs: nonresonance conditions and rotation numbers ⋮ Subharmonic solutions of indefinite Hamiltonian systems via rotation numbers ⋮ Resonance and rotation numbers for planar Hamiltonian systems: multiplicity results via the Poincaré-Birkhoff theorem ⋮ Non-resonance and double resonance for a planar system via rotation numbers ⋮ Some existence theorems for semilinear Neumann problems with Landesman-Lazer condition revisited ⋮ Periodic and unbounded motions in asymmetric oscillators at resonance

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