Extremal points for impulsive Lidstone boundary value problems
Document Type
Article
Publication Date
2000
Publication Source
Mathematical and Computer Modelling
Abstract
The first extremal point for a boundary value problem with impulse for an nth-order linear, ordinary differential equation is characterized by the existence of a nontrivial solution that lies in a cone. Cone theoretic arguments 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.
Inclusive pages
687-698
ISBN/ISSN
0895-7177
Volume
32
Issue
5-6
Peer Reviewed
yes
eCommons Citation
Eloe, Paul W.; Henderson, Johnny; and Thompson, H. B., "Extremal points for impulsive Lidstone boundary value problems" (2000). Mathematics Faculty Publications. 184.
https://ecommons.udayton.edu/mth_fac_pub/184
COinS
Comments
Permission documentation is on file.