NONTRIVIAL PERIODIC-SOLUTIONS FOR STRONG RESONANCE HAMILTONIAN-SYSTEMS

Authors
CHANG KC LIU JQ LIU MJ
Citation
Kc. Chang et al., NONTRIVIAL PERIODIC-SOLUTIONS FOR STRONG RESONANCE HAMILTONIAN-SYSTEMS, Annales de l Institut Henri Poincare. Analyse non lineaire, 14(1), 1997, pp. 103-117
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
Journal title
Annales de l Institut Henri Poincare. Analyse non lineaire → ACNP
ISSN journal
02941449
Volume
14
Issue
1
Year of publication
1997
Pages
103 - 117
Database
ISI
SICI code
0294-1449(1997)14:1<103:NPFSRH>2.0.ZU;2-Z
Abstract
For a Hamiltonian system, in which the Hamiltonian is assumed to have an asymptotically linear gradient, the existence of nontrivial periodi c solutions is proved under the assumption that the linearized operato rs have distinct Maslov indices at 0 and at infinity. Both the lineari zed operators may be degenerate. In particular, the results cover the ''strong resonance'' case.