Forced Oscillations of Nonlinear Hamiltonian Systems, II

摘要

We study periodic solutions of the nonlinear Hamiltonian system with n degrees of freedom, the Hamiltonian H being convex and super quadratic in both variables, and the forcing terms being T-periodic with mean value zero. We prove that, if these forcing terms lie within bounds which we explicitly compute, system (H has some T-periodic solution, which we also locate explicitly.