One-Signed Harmonic Solutions and Sign-Changing Subharmonic Solutions to Scalar Second Order Differential Equations

DOI10.1515/ans-2012-0302zbMath1264.34076OpenAlexW2511587738MaRDI QIDQ4898263

Alberto Boscaggin

Publication date: 30 December 2012

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

Full work available at URL: https://doi.org/10.1515/ans-2012-0302

zbMATH Keywords

periodic solutionsPoincaré-Birkhoff theorem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Rotation numbers and vectors (37E45)

Related Items (4)

Periodic solutions of second order equations via rotation numbers ⋮ Nonautonomous nonlinear ODEs: nonresonance conditions and rotation numbers ⋮ Subharmonic solutions of indefinite Hamiltonian systems via rotation numbers ⋮ On the use of Morse index and rotation numbers for multiplicity results of resonant BVPs

Cites Work

• Multiple periodic solutions of ordinary differential equations with double resonance
• Periodic oscillations for a nonlinear suspension bridge model
• Maslov index, Poincaré-Birkhoff theorem and periodic solutions of asymptotically linear planar Hamiltonian systems
• Subharmonic Solutions of Planar Hamiltonian Systems: a Rotation Number Approach
• Multiplicity results for periodic solutions of second order ODEs with asymmetric nonlinearities
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
• Some remarks on the Poincaré-Birkhoff theorem
• On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions

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