Date of Award

8-1-2017

Degree Name

Master of Science

Department

Mathematics

First Advisor

Hughes, Dr. Harry

Abstract

We establish a theorem on the approximation of the solutions of delay differential equations with continuously distributed delay with solutions of delay differential equations with discrete delays. We present numerical simulations of the trajectories of discrete delay differential equations and the dependence of their behavior for various delay amounts. We further simulate continuously distributed delays by considering discrete approximation of the continuous distribution.

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This thesis is Open Access and may be downloaded by anyone.