Doctoral Degrees (Mathematics and Applied Mathematics)

A structural approach to the endomorphisms of certain abelian groups

De Klerk, Ben-Eben (University of the Free State, 2016-09)

English: Given a set S, and any selfmap ƒ: S→S, the functional graph associated with ƒ can be described as a graph with vertex set S and directed edge set E = {(u; v) ϵ S2 : ƒ (u) = v}. A classification of all functional ...
Analysis of numerical approximation algorithms for nonlinear differential equations using a discrete multiple scales technique

Maré, Eben (University of the Free State, 2002-12)

English: Perturbation techniques for the solution of differential equations form an essential ingredient of the tools of mathematics as applied to physics, engineering, finance and other areas of applied mathematics. A ...
Contributions to the theory of near vector spaces

Howell, Karin-Therese (University of the Free State, 2007-09)

The main purpose of this thesis is to give an exposition of and expand the theory of near vector spaces, as first introduced by Andr´e [1]. The notion of a vector space is well known. For this reason the material in this ...
Adaptive dynamics for an age-structured population model with a Shepherd recruitment function

Ellis, Michelle Heidi (University of the Free State, 2013-06-07)

English: In this study the evolution of the genetic composition of certain species will be replaced by the evolution of the traits that represent these genetic compositions. Depending on the nature of the trait of interest, ...