|
|
| |
| PERIODIC SOLUTIONS OF ASYMPTOTICALLY LINEAR HAMILTONIAN SYSTEMS |
| |
Citation： |
Fei Guihua,Qiu Qingjiu.PERIODIC SOLUTIONS OF ASYMPTOTICALLY LINEAR HAMILTONIAN SYSTEMS[J].Chinese Annals of Mathematics B,1997,18(3):359~372 |
| Page view： 1305
Net amount： 949 |
Authors： |
Fei Guihua; Qiu Qingjiu |
Foundation： |
Project supported by the National Natural Science
Foundation of China |
|
|
| 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. |
Keywords： |
Periodic solution, Critical
point, Hamiltonian systems, Maslov-type index |
Classification： |
58E05, 58F05, 34C25 |
|
|
Download PDF Full-Text
|
|
|
|
