Existence and comparison of smallest eigenvalues for a fractional boundary-value problem

Author(s)

Paul W. Eloe, University of DaytonFollow
Jeffrey T. Neugebauer, Eastern Kentucky University

Document Type

Article

Publication Date

2014

Publication Source

Electronic Journal of Differential Equations

Abstract

The theory of u0-positive operators with respect to a cone in a Banach space is applied to the fractional linear differential equations

(see PDF)

0 < t < 1, with each satisfying the boundary conditions u(0) = u(1) = 0. The existence of smallest positive eigenvalues is established, and a comparison theorem for smallest positive eigenvalues is obtained.

Inclusive pages

No. 43, 10

ISBN/ISSN

1072-6691

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.

Peer Reviewed

yes

eCommons Citation

Eloe, Paul W. and Neugebauer, Jeffrey T., "Existence and comparison of smallest eigenvalues for a fractional boundary-value problem" (2014). Mathematics Faculty Publications. 102.
https://ecommons.udayton.edu/mth_fac_pub/102