On the structure of the set of bounded solutions on a periodic lienard equation

Authors
Campos, J Torres, PJ
Citation
J. Campos et Pj. Torres, On the structure of the set of bounded solutions on a periodic lienard equation, P AM MATH S, 127(5), 1999, pp. 1453-1462
Citations number
8
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
5
Year of publication
1999
Pages
1453 - 1462
Database
ISI
SICI code
0002-9939(199905)127:5<1453:OTSOTS>2.0.ZU;2-D
Abstract
We describe the dynamics of a class of second order periodic differential e quations whose main feature is a monotone nonlinearity. It is proved that t he set of bounded solutions is homeomorphic to the graph of a decreasing fu nction.