Paul W. Eloe, Jeffrey T. Neugebauer
The theory of -positive operators with respect to a cone in a Banach space is applied to the fractional linear differential equations
, with each satisfying the boundary conditions . The existence of smallest positive eigenvalues is established, and a comparison theorem for smallest positive eigenvalues is obtained.
Submitted August 22, 2013. Published February 10, 2014.
Math Subject Classifications: 26A33
Key Words: Fractional boundary value problem; smallest eigenvalues; -positive operator.
Show me the PDF file (212 KB), TEX file, and other files for this article.
| Paul W. Eloe |
Department of Mathematics, University of Dayton
Dayton, OH 45469, USA
| Jeffrey T. Neugebauer |
Department of Mathematics and Statistics
Eastern Kentucky University
Richmond, KY 40475, USA
Return to the EJDE web page