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Article
Existence and comparison of smallest eigenvalues for a fractional boundary-value problem
Electronic Journal of Differential Equations
  • Paul W. Eloe, University of Dayton
  • Jeffrey T. Neugebauer, Eastern Kentucky University
Document Type
Article
Publication Date
1-1-2014
Abstract

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

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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
Disciplines
Citation Information
Paul W. Eloe and Jeffrey T. Neugebauer. "Existence and comparison of smallest eigenvalues for a fractional boundary-value problem" Electronic Journal of Differential Equations (2014)
Available at: http://works.bepress.com/paul_eloe/49/