NONCOLLISION PERIODIC-SOLUTIONS TO SOME SINGULAR DYNAMICAL-SYSTEMS WITH VERY WEAK FORCES

Authors
RAMOS M TERRACINI S
Citation
M. Ramos et S. Terracini, NONCOLLISION PERIODIC-SOLUTIONS TO SOME SINGULAR DYNAMICAL-SYSTEMS WITH VERY WEAK FORCES, Journal of differential equations, 118(1), 1995, pp. 121-152
Citations number
21
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of differential equations → ACNP
ISSN journal
00220396
Volume
118
Issue
1
Year of publication
1995
Pages
121 - 152
Database
ISI
SICI code
0022-0396(1995)118:1<121:NPTSSD>2.0.ZU;2-D
Abstract
We prove a double variational characterization of the set of all the p eriodic solutions of the Kepler problem. We provide a sufficient condi tion for the existence of a periodic solution with prescribed period o r energy for autonomous second-order differential systems with Kepleri an-type potentials. The proofs are based on linking arguments. (C) 199 5 academic Press, Inc.