In this paper, we study the minimal period problem for the first-order Hamiltonian systems which may not be strictly convex. By using variational methods and the iteration formula of the Maslov-type index theory, we obtain estimates of the minimal period of the corresponding nonconstant periodic solutions.
- Galerkin approximation procedure
- Hamiltonian systems
- Iteration formula
- Maslov-type index
- Minimal period problem