Minimal period estimates of periodic solutions for superquadratic Hamiltonian systems

Citation
Gh. Fei et al., Minimal period estimates of periodic solutions for superquadratic Hamiltonian systems, J MATH ANAL, 238(1), 1999, pp. 216-233
Citations number
27
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
238
Issue
1
Year of publication
1999
Pages
216 - 233
Database
ISI
SICI code
0022-247X(19991001)238:1<216:MPEOPS>2.0.ZU;2-8
Abstract
In this paper, we study the minimal period problem for the first-order Hami ltonian systems which may not be strictly convex. By using variational meth ods and the iteration formula of the Maslov-type index theory, we obtain es timates of the minimal period of the corresponding nonconstant periodic sol utions. (C) 1999 Academic Press.