Extremal points for impulsive Lidstone boundary value problems

Authors
Eloe, PW Henderson, J Thompson, HB
Citation
Pw. Eloe et al., Extremal points for impulsive Lidstone boundary value problems, MATH COMP M, 32(5-6), 2000, pp. 687-698
Citations number
24
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICAL AND COMPUTER MODELLING
ISSN journal
08957177 → ACNP
Volume
32
Issue
5-6
Year of publication
2000
Pages
687 - 698
Database
ISI
SICI code
0895-7177(200009)32:5-6<687:EPFILB>2.0.ZU;2-3
Abstract
The first extremal point for a boundary value problem with impulse for an n (th)-order linear, ordinary differential equation is characterized by the e xistence of a nontrivial solution that lies in a cone. Cone theoretic argum ents are applied to linear, monotone, compacts maps. To construct such maps , an impulse effect operator is constructed to complement the usual Green's function approach. An application is made to a nonlinear problem. (C) 2000 Elsevier Science Ltd. All rights reserved.