THE MINIMAL PERIOD PROBLEM FOR NONCONVEX EVEN 2ND-ORDER HAMILTONIAN-SYSTEMS

Authors
FEI GH WANG TX
Citation
Gh. Fei et Tx. Wang, THE MINIMAL PERIOD PROBLEM FOR NONCONVEX EVEN 2ND-ORDER HAMILTONIAN-SYSTEMS, Journal of mathematical analysis and applications, 215(2), 1997, pp. 543-559
Citations number
23
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
215
Issue
2
Year of publication
1997
Pages
543 - 559
Database
ISI
SICI code
0022-247X(1997)215:2<543:TMPPFN>2.0.ZU;2-Q
Abstract
In this paper, we study the minimal period problem for even autonomous second order Hamiltonian systems defined on R-N without any convexity assumption. By using the variational methods, we obtain estimates on the minimal period of the corresponding nonconstant periodic solution of the superquadratic and asymptotically linear Hamiltonian systems. ( C) 1997 Academic Press.