RESONANCE AND NONRESONANCE IN A PROBLEM OF BOUNDEDNESS

Authors
ORTEGA R TINEO A
Citation
R. Ortega et A. Tineo, RESONANCE AND NONRESONANCE IN A PROBLEM OF BOUNDEDNESS, Proceedings of the American Mathematical Society, 124(7), 1996, pp. 2089-2096
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
7
Year of publication
1996
Pages
2089 - 2096
Database
ISI
SICI code
0002-9939(1996)124:7<2089:RANIAP>2.0.ZU;2-K
Abstract
This paper studies the existence of bounded solutions of a forced non- linear differential equation of arbitrary order. Necessary and suffici ent conditions for the existence of such solutions are obtained. These results are inspired by classical results on the periodic problem, bo th in the resonant and non-resonant cases.