Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 216-233 |
| Number of pages | 18 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 238 |
| Issue number | 1 |
| DOIs | |
| State | Published - Oct 1 1999 |
Keywords
- Galerkin approximation procedure
- Hamiltonian systems
- Iteration formula
- Maslov-type index
- Minimal period problem