Date of Award

January 2016

Degree Type

Open Access Thesis

Degree Name

Master of Science (MS)

Department

Mathematics and Statistics

First Advisor

Jeffrey T. Neugebauer

Department Affiliation

Mathematics and Statistics

Second Advisor

Donald Jason Gibson

Department Affiliation

Mathematics and Statistics

Third Advisor

Atilla Sit

Department Affiliation

Mathematics and Statistics

Abstract

We establish the existence of and then compare smallest eigenvalues for the fractional boundary value problems D_(0^+)^α u+λ_1 p(t)u=0 and $D_(0^+)^α u+λ_2 q(t)u=0,0< t< 1, satisfying the boundary conditions when n-1<α≤ n. First, we consider the case when 0<β

Included in

Algebra Commons

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