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Article Contents

# 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.
Mathematics Subject Classification: 34C25, 34B15, 34C23, 58E05.

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