Paul W. Eloe, Jeffrey T. Neugebauer
Abstract:
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.
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Paul W. Eloe Department of Mathematics, University of Dayton Dayton, OH 45469, USA email: peloe1@udayton.edu | |
Jeffrey T. Neugebauer Department of Mathematics and Statistics Eastern Kentucky University Richmond, KY 40475, USA email: jeffrey.neugebauer@eku.edu |
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