Minimal period estimates of periodic solutions for superquadratic Hamiltonian systems (Q1307264)

The authors study the minimal period problem for first-order Hamiltonian systems which may not be strictly convex. First, by using the iteration formula of the Maslov-type index theory developed by Dong and Long, the authors obtain a new relationship between the iteration number and the Maslov-type indices. Then, using the Galerkin approximation procedure and ideas contained in papers of G. Fei, Q. Qiu and P.H. Rabinowitz, one obtains estimates of the minimal period of the corresponding nonconstant periodic solutions.