Resumen de Periodic solutions of a non coercive hamiltonian system

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 $$H(t, r, p) = f(\vert p - Ar\vert) + h(t) \cdot (r, p) .$$