Using closed orbits to bifurcate many periodic solutions for pendulum-type equations

DOI10.1016/J.JMAA.2003.11.057zbMath1068.34041OpenAlexW2123133674MaRDI QIDQ1763798

Antonio J. Ureña

Publication date: 22 February 2005

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.2003.11.057

zbMATH Keywords

periodic solutionsbifurcationclosed orbitspendulum-like equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23)

Related Items (2)

Multiplicity of forced oscillations for the spherical pendulum acted on by a retarded periodic force ⋮ About the notion of non-T -resonance and applications to topological multiplicity results for ODEs on differentiable manifolds

Cites Work

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• Multiple solutions of the periodic boundary value problem for some forced pendulum-type equations
• The forced pendulum: A paradigm for nonlinear analysis and dynamical systems
• A forced pendulum equation with many periodic solutions
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Many periodic solutions for pendulum-type equations
• DEGENERATE EQUATIONS OF PENDULUM-TYPE

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