Degree Name

MS (Master of Science)

Program

Mathematical Sciences

Date of Award

12-2009

Committee Chair or Co-Chairs

Jeff R. Knisley

Committee Members

Robert B. Gardner, Frederick Norwood

Abstract

The Carleman Embedding is a method that allows us to embed a finite dimensional system of nonlinear differential equations into a system of infinite dimensional linear differential equations. This technique works well when dealing with first-order nonlinear differential equations. However, for higher order nonlinear ordinary differential equations, it is difficult to use the Carleman Embedding method. This project will examine the Carleman Embedding and a variation of the method which is very convenient in applying to second order systems of nonlinear equations.

Document Type

Thesis - Open Access

Copyright

Copyright by the authors.

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