Document Type
Article
Publication Date
2013
Publication Source
Opuscula Mathematica
Abstract
In this article we apply an extension of a Leggett-Williams type fixed point theorem to a two-point boundary value problem for a 2n-th order ordinary differential equation. The fixed point theorem employs concave and convex functionals defined on a cone in a Banach space. Inequalities that extend the notion of concavity to 2n-th order differential inequalities are derived and employed to provide the necessary estimates. Symmetry is employed in the construction of the appropriate Banach space.
Inclusive pages
603-613
ISBN/ISSN
1232-9274
Document Version
Published Version
Volume
33
Issue
4
Peer Reviewed
yes
eCommons Citation
Altwaty, Abdulmalik and Eloe, Paul W., "Concavity of solutions of a 2n-th order problem with symmetry" (2013). Mathematics Faculty Publications. 116.
https://ecommons.udayton.edu/mth_fac_pub/116
Comments
This document is made available in compliance with the publisher's policy on self-archiving or with the express permission of the publisher. Permission documentation is on file.