Citation
Fh. Wong et Wc. Lian, POSITIVE SOLUTION FOR SINGULAR BOUNDARY-VALUE-PROBLEMS, Computers & mathematics with applications, 32(9), 1996, pp. 41-49
Citations number
23
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
ISSN journal
08981221
Volume
32
Issue
9
Year of publication
1996
Pages
41 - 49
Database
ISI
SICI code
0898-1221(1996)32:9<41:PSFSB>2.0.ZU;2-#
Abstract
A sufficient condition for the existence of positive solutions of the
nonlinear boundary value problem u ''(t) + f(t, u(t)) = 0, 0 < t < 1,
u'(0) = u(1) = 0 is constructed, where f : [0, 1) x (0, infinity) -->
(0, infinity) is continuous, f(t, u) is locally Lipschitz continuous,
and f(t, u)/u is strictly decreasing in u > 0 for each t is an element
of (0, 1).