On the use of Morse index and rotation numbers for multiplicity results of resonant BVPs

DOI10.1016/j.jmaa.2013.12.005zbMath1308.34027OpenAlexW1981054197MaRDI QIDQ2338692

Pedro J. Torres, Carlota Rebelo, Alessandro Margheri

Publication date: 27 March 2015

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.2013.12.005

zbMATH Keywords

periodic solutionsMorse indexrotation numberNeumann problemPoincaré-Birkhoff theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items

Periodic solutions of weakly coupled superlinear systems with indefinite terms, Lower bound on the number of periodic solutions for asymptotically linear planar Hamiltonian systems, Positive subharmonic solutions to nonlinear ODEs with indefinite weight, 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, A new fixed point theorem and periodic solutions of nonconservative weakly coupled systems, A topological degree approach to a nonlocal Neumann problem for a system at resonance, Periodic solutions of \(p\)-Laplacian equations via rotation numbers, Subharmonic solutions of the forced pendulum equation: a symplectic approach, Non-resonance and double resonance for a planar system via rotation numbers, Planar Hamiltonian systems: index theory and applications to the existence of subharmonics

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