Concavity of solutions of a 2n-th order problem with symmetry

Author(s)

Abdulmalik Altwaty, University of Dayton
Paul W. Eloe, University of DaytonFollow

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

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.

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