Periodic Solutions of Pendulum-Like Hamiltonian Systems in the Plane
نویسندگان
چکیده
By the use of a generalized version of the Poincaré–Birkhoff fixed point theorem, we prove the existence of at least two periodic solutions for a class of Hamiltonian systems in the plane, having in mind the forced pendulum equation as a particular case. Our approach is closely related to the one used by Franks in [15], but the proof remains at a more elementary level. 2010 Mathematics Subject Classification. 34C25.
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