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) |
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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