Existence of nontrivial periodic solutions for a class of resonance Hamiltonian systems

Authors
Su, JB
Citation
Jb. Su, Existence of nontrivial periodic solutions for a class of resonance Hamiltonian systems, J MATH ANAL, 233(1), 1999, pp. 1-25
Citations number
12
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
233
Issue
1
Year of publication
1999
Pages
1 - 25
Database
ISI
SICI code
0022-247X(19990501)233:1<1:EONPSF>2.0.ZU;2-J
Abstract
In this paper we study the asymptotically linear Hamiltonian systems -J(z) over dot = H'(t, z) with resonance at infinity via the Morse theory and the Galerkin methods and obtain some new existence results about the nontrivia l periodic solutions of this system. (C) 1999 academic Press.