Authors
Citation
D. Anderson, MULTIPLE POSITIVE SOLUTIONS FOR A 3-POINT BOUNDARY-VALUE PROBLEM, Mathematical and computer modelling, 27(6), 1998, pp. 49-57
Citations number
11
Categorie Soggetti
Mathematics,"Computer Science Interdisciplinary Applications","Computer Science Software Graphycs Programming",Mathematics,"Computer Science Interdisciplinary Applications","Computer Science Software Graphycs Programming
Journal title
ISSN journal
08957177
Volume
27
Issue
6
Year of publication
1998
Pages
49 - 57
Database
ISI
SICI code
0895-7177(1998)27:6<49:MPSFA3>2.0.ZU;2-K
Abstract
We will find conditions on f that lead to the existence of at least th
ree positive solutions to the three-point boundary value problem -x'''
(t) + f(x(t)) = 0, with x(0) = x'(t(2)) = x ''(1) = 0, on [0, 1], wher
e t(2) is an element of [1/2, 1). A positive solution will mean a solu
tion in the cone of nonnegative functions in the Banach space C[0, 1]
with the sup norm.