Periodic solutions of a non coercive hamiltonian system

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Mohsen Timoumi
A. Trad
In this paper,we study the existence of periodic solutions of hamiltonian systems: $$\dot x = J H'(t, x)$$ where the hamiltonian $H$ is non coercive of the type $$H(t, r, p) = f(\vert p - Ar\vert) + h(t) \cdot (r, p) .$$

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Timoumi, Mohsen; Trad, A. «Periodic solutions of a non coercive hamiltonian system». Collectanea Mathematica, 1995, vol.VOL 46, núm. 3, p. 255-61, https://raco.cat/index.php/CollectaneaMathematica/article/view/56313.