We show how the Poincaré–Birkhoff theorem for Hamiltonian sys- tems can be used to find multiple solutions of the antiperiodic prob- lem. Applications are given to scalar second order differential equations whose nonlinearities provide a twist in the phase plane, among which those with a superlinear or sublinear behaviour at infinity.
Applying the Poincaré-Birkhoff theorem to antiperiodic problems / Fonda, Alessandro; Mamo, Natnael Gezahegn; Sfecci, Andrea; Ullah, Wahid. - In: OPUSCULA MATHEMATICA. - ISSN 2300-6919. - (2026), pp. 1-13. [10.7494/OpMath.202601081]
Applying the Poincaré-Birkhoff theorem to antiperiodic problems
Alessandro Fonda;Natnael Gezahegn Mamo;Andrea Sfecci;Wahid Ullah
2026-01-01
Abstract
We show how the Poincaré–Birkhoff theorem for Hamiltonian sys- tems can be used to find multiple solutions of the antiperiodic prob- lem. Applications are given to scalar second order differential equations whose nonlinearities provide a twist in the phase plane, among which those with a superlinear or sublinear behaviour at infinity.File in questo prodotto:
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