MS (Master of Science)
Date of Award
Committee Chair or Co-Chairs
Jeff R. Knisley
Robert B. Gardner, Frederick Norwood
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.
Thesis - Open Access
Dzacka, Charles Nunya, "A Variation of the Carleman Embedding Method for Second Order Systems." (2009). Electronic Theses and Dissertations. Paper 1877. https://dc.etsu.edu/etd/1877
Copyright by the authors.