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ESTIMATES FOR THE NUMBER OF EIGENVALUES OF NON-SELF-ADJOINT OPERATORS
Title
ESTIMATES FOR THE NUMBER OF EIGENVALUES OF NON-SELF-ADJOINT OPERATORS
Author
Hulko, Artem
Date Created
2018
Subjects--Topical
Mathematics
Description
In this dissertation we find estimates for the total number of eigenvalues of non-self-adjoint operators. We consider five different operators, three of them discrete and two continuous. Discrete operators are as follows: Schrödinger operator defi...
Limit Cycles in Two Dimensional Systems of Ordinary Differential Equations
Title
Limit Cycles in Two Dimensional Systems of Ordinary Differential Equations
Author
Rowe, Ashley
Date Created
2018
Subjects--Topical
Mathematics
Description
This thesis concerns cycles, i.e., topological ovals, in the phase portraits of systems of first order ordinary differential equationsin the plane, with an emphasis on limit cycles, cycles that are isolated from all other cycles. These are of fund...
Number Rings and Dedekind Domains
Title
Number Rings and Dedekind Domains
Author
Harrison, Mary
Date Created
2019
Subjects--Topical
Mathematics
Description
In this paper, we study number rings and their factorization properties. We begin with an introduction to number fields and number rings. Then we consider the ring Z[i], which is a unique factorization domain, where each element factors uniquely i...
SOLUTION OF A 1-D INVERSE PROBLEM BY THE CONVEXIFICATION METHOD
Title
SOLUTION OF A 1-D INVERSE PROBLEM BY THE CONVEXIFICATION METHOD
Author
Abney, Ray
Date Created
2019
Subjects--Topical
Mathematics, Physics
Description
In this thesis, we demonstrate a method outlined by Dr. Mikhail Klibanov for solving a 1-D coefficient inverse problem by the convexification method. Our inverse problem in question concerns finding buried bombs, where the dielectric constants of ...