JournalspmVol. 69, No. 2pp. 127–140

Periodic solutions to superlinear planar Hamiltonian systems

  • Alberto Boscaggin

    Università di Torino, Italy
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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.

Cite this article

Alberto Boscaggin, Periodic solutions to superlinear planar Hamiltonian systems. Port. Math. 69 (2012), no. 2, pp. 127–140

DOI 10.4171/PM/1909