NONTRIVIAL PERIODIC-SOLUTIONS FOR THE ASYMPTOTICALLY LINEAR HAMILTONIAN-SYSTEMS WITH RESONANCE AT INFINITY

Authors
SU JB
Citation
Jb. Su, NONTRIVIAL PERIODIC-SOLUTIONS FOR THE ASYMPTOTICALLY LINEAR HAMILTONIAN-SYSTEMS WITH RESONANCE AT INFINITY, Journal of differential equations, 145(2), 1998, pp. 252-273
Citations number
18
Categorie Soggetti
Mathematics,Mathematics
Journal title
Journal of differential equations → ACNP
ISSN journal
00220396
Volume
145
Issue
2
Year of publication
1998
Pages
252 - 273
Database
ISI
SICI code
0022-0396(1998)145:2<252:NPFTAL>2.0.ZU;2-Y
Abstract
In this paper we are concerned with the existence of nontrivial period ic solutions of an asymptotically linear Hamiltonian systems when a ki nd of resonance condition is satisfied. We prove several new existence results via the Morse theory, the Garlerkin methods, and the Moslov i ndex theory. (C) 1998 Academic Press.