We prove the existence of infinitely many periodic (harmonic and subharmonic) solutions to planar Hamiltonian systems satisfying a suitable superlinearity condition at infinity. The proof relies on the Poincaré-Birkhoff fixed point theorem.
Periodic solutions to superlinear planar Hamiltonian systems
BOSCAGGIN, Alberto
2012-01-01
Abstract
We prove the existence of infinitely many periodic (harmonic and subharmonic) solutions to planar Hamiltonian systems satisfying a suitable superlinearity condition at infinity. The proof relies on the Poincaré-Birkhoff fixed point theorem.
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