
AbstractWe prove the existence of periodic trajectories of Hamiltonian inclusions, which reduce to the usual Hamiltonian equations in the presence of smoothness. This is accomplished via a direct variational principle involving a new action integral in an extended sense.
Hamilton's equations, action integral, Periodic solutions to ordinary differential equations, direct variational principle, Analysis
Hamilton's equations, action integral, Periodic solutions to ordinary differential equations, direct variational principle, Analysis
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