Abstract
The authors establish the existence of nontrival periodic solutions of the asymptotically linear Hamiltonian systems in the general case that the asymptotic matrix may be degenerate and time-dependent. This is done by using the critical point theory, Galerkin approximation procedure and the Maslov-type index theory introduced and generalized by Conley, Zehnder and Long.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 359-372 |
| Number of pages | 14 |
| Journal | Chinese Annals of Mathematics. Series B |
| Volume | 18 |
| Issue number | 3 |
| State | Published - Dec 1 1997 |
Keywords
- Critical point
- Hamiltonian systems
- Maslov-type index
- Periodic solution