An existence theorem for systems of boundary value problems

Authors
Herzog, G Lemmert, R
Citation
G. Herzog et R. Lemmert, An existence theorem for systems of boundary value problems, P AM MATH S, 128(1), 2000, pp. 157-160
Citations number
6
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
128
Issue
1
Year of publication
2000
Pages
157 - 160
Database
ISI
SICI code
0002-9939(200001)128:1<157:AETFSO>2.0.ZU;2-N
Abstract
We prove an existence theorem for u"(t) =f(t, u(t), u'(t)), u(0) = u(0), u( 1) = u(1) in R-n, using the shooting method. The function f is supposed to be asymptotically linear.