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Solutions of minimal period for a Hamiltonian system with a changing sign potential
We consider a class of second-order Hamiltonian systems with a
potential indefinite in sign. Applying the fibering approach we
prove some existence and multiplicity results of periodic
solutions with minimal period. We also give an answer to the
problem of the existence of solutions with prescribed period $T$
which is greater than the first eigenvalue $\frac{2\pi}{\omega_n}$
of the corresponding linear problem.