Authors
Citation
P. Bolle, On the Bolza problem, J DIFF EQUA, 152(2), 1999, pp. 274-288
Citations number
7
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN journal
00220396
→ ACNP
Volume
152
Issue
2
Year of publication
1999
Pages
274 - 288
Database
ISI
SICI code
0022-0396(19990301)152:2<274:OTBP>2.0.ZU;2-N
Abstract
We consider the following boundary value problem: <(x)double over dot> + de
l V (x) = 0, x(0) = x(0), x(T) = x(1), where T>0, x(0), x(1) is an element
of R-n are given. We prove that this problem has infinitely many solutions
provided V is even and superquadratic. (C) 1999 academic Press.