Existence of solutions for first order singular problems

Authors
Cherpion, M De Coster, C
Citation
M. Cherpion et C. De Coster, Existence of solutions for first order singular problems, P AM MATH S, 128(6), 2000, pp. 1779-1791
Citations number
24
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
128
Issue
6
Year of publication
2000
Pages
1779 - 1791
Database
ISI
SICI code
0002-9939(2000)128:6<1779:EOSFFO>2.0.ZU;2-#
Abstract
We develop the lower and upper solutions method for first order initial val ue problems as well as for first order periodic problems in case the nonlin earity presents singularities. More precisely we prove that if we have a lo wer solution alpha and an upper solution beta of these problems, which are not necessarily continuous nor ordered, we have a solution wedged between m in{alpha, beta} and max{alpha, beta}.