MULTIPLICITY RESULTS FOR 2ND-ORDER NONLINEAR PROBLEMS WITH MAXIMUM AND MINIMUM

Authors
Citation
S. Stanek, MULTIPLICITY RESULTS FOR 2ND-ORDER NONLINEAR PROBLEMS WITH MAXIMUM AND MINIMUM, Mathematische Nachrichten, 192, 1998, pp. 225-237
Citations number
30
Categorie Soggetti
Mathematics,Mathematics
Journal title
ISSN journal
0025584X
Volume
192
Year of publication
1998
Pages
225 - 237
Database
ISI
SICI code
0025-584X(1998)192:<225:MRF2NP>2.0.ZU;2-Y
Abstract
A functional differential equation of the type x '' = (Fx) (t), where F : C-1(J) --> L-1(J) is a unbounded operator, is considered. Sufficie nt conditions for the existence of at least two different solutions sa tisfying boundary conditions min{x(t) : t is an element of J} = alpha, max{x(t) : t is an element of J} = beta are given.