Multiple symmetric positive solutions for a second order boundary value problem

Authors
Henderson, J Thompson, HB
Citation
J. Henderson et Hb. Thompson, Multiple symmetric positive solutions for a second order boundary value problem, P AM MATH S, 128(8), 2000, pp. 2373-2379
Citations number
7
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
128
Issue
8
Year of publication
2000
Pages
2373 - 2379
Database
ISI
SICI code
0002-9939(2000)128:8<2373:MSPSFA>2.0.ZU;2-N
Abstract
For the second order boundary value problem, y" + f(y) = 0, 0 less than or equal to t less than or equal to 1, y(0) = 0 = y(1), where f : R --> [0, in finity); growth conditions are imposed on f which yield the existence of at least three symmetric positive solutions.