A multiplicity result for periodic solutions of second-order differential equations with a singularity

DOI10.1016/j.na.2011.10.025zbMath1278.34038OpenAlexW2008344229MaRDI QIDQ435870

Alessandro Fonda, Alberto Boscaggin, Maurizio Garrione

Publication date: 12 July 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2318/151184

zbMATH Keywords

multiple periodic solutionsrepulsive singularityPoincaré-Birkhoff theorem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Applications of operator theory to differential and integral equations (47N20) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (4)

Multiplicity of periodic solutions for weakly coupled parametrized systems with singularities ⋮ Periodic solutions of discontinuous second order differential equations. The porpoising effect ⋮ Lazer-Leach type conditions on periodic solutions of semilinear resonant Duffing equations with singularities ⋮ About the notion of non-T -resonance and applications to topological multiplicity results for ODEs on differentiable manifolds

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