Periodic solutions of equations with oscillating nonlinearities

Authors
Krasnosel'skii, AM Mawhin, J
Citation
Am. Krasnosel'Skii et J. Mawhin, Periodic solutions of equations with oscillating nonlinearities, MATH COMP M, 32(11-13), 2000, pp. 1445-1455
Citations number
7
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICAL AND COMPUTER MODELLING
ISSN journal
08957177 → ACNP
Volume
32
Issue
11-13
Year of publication
2000
Pages
1445 - 1455
Database
ISI
SICI code
0895-7177(200012)32:11-13<1445:PSOEWO>2.0.ZU;2-L
Abstract
In this paper, we consider the 2 pi -periodic problem for the equation x " + n(2)x = f(s) - b(t), where n is a positive integer, b(t) is continuous and 2 pi -periodic, and f (s) is bounded and continuous. We give a new formulation for the Lazer-Leac h conditions for the existence of 2 pi -periodic solutions, and new suffici ent conditions for the existence of unbounded sequences of such solutions. (C) 2000 Elsevier Science Ltd. All rights reserved.