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Spherically symmetric charged EinsteinMaxwell solutions.
(1999)In this thesis we study spherically symmetric spacetimes with a perfect fluid source which incorporates charge. We seek explicit solutions to the Einstein Maxwell system of equations. For nonaccelerating spherically ... 
Lie group analysis of exotic options.
(20140619)Exotic options are derivatives which have features that makes them more complex than vanilla traded products. Thus, finding their fair value is not always an easy task. We look at a particular example of the exotic options ... 
Aspects of distance measures in graphs.
(2011)In this thesis we investigate bounds on distance measures, namely, Steiner diameter and radius, in terms of other graph parameters. The thesis consists of four chapters. In Chapter 1, we define the most significant terms ... 
Lie symmetries of junction conditions for radiating stars.
(20131031)We consider shearfree radiating spherical stars in general relativity. In particular we study the junction condition relating the pressure to the heat flux at the boundary of the star. This is a nonlinear equation in ... 
Continuous symmetries of difference equations.
(20130604)We consider the study of symmetry analysis of difference equations. The original work done by Lie about a century ago is known to be one of the best methods of solving differential equations. Lie's theory of difference ... 
On convection and flow in porous media with crossdiffusion.
(2012)In this thesis we studied convection and crossdiffusion effects in porous media. Fluid flow in different flow geometries was investigated and the equations for momentum, heat and mass transfer transformed into a system ... 
On the theory of the frobenius groups.
(2012)The Frobenius group is an example of a split extension. In this dissertation we study and describe the properties and structure of the group. We also describe the properties and structure of the kernel and complement, ... 
On free convection and heat transfer in a micropolar fluid flow past a moving semiinfinite plate.
(2012)In this dissertation we investigate free convective heat and mass transfer in micropolar fluid flow past a moving semiinfinite vertical porous plate in the presence of a magnetic field. The aim of this study was to use ... 
Measurement and modelling of households' demand and access to basic water in relation to the rapidly increasing household numbers in South Africa.
(2010)Service delivery in postapartheid South Africa has become a topical issue both in the academia and the political arena . The rise of social movements, the xenophobic tensions of May 2008 and protest actions could be ... 
Evolutionary dynamics of coexisting species.
(2000)Ever since MaynardSmith and Price first introduced the concept of an evolutionary stable strategy (ESS) in 1973, there has been a growing amount of work in and around this field. Many new concepts have been introduced, ... 
Singularity and symmetry analysis of differential sequences.
(2009)We introduce the notion of differential sequences generated by generators of sequences. We discuss the Riccati sequence in terms of symmetry analysis, singularity analysis and identification of the complete symmetry group ... 
CliffordFischer theory applied to certain groups associated with symplectic, unitary and Thompson groups.
(2012)The character table of a finite group is a very powerful tool to study the groups and to prove many results. Any finite group is either simple or has a normal subgroup and hence will be of extension type. The classification ... 
On the theory and examples of group extensions.
(1999)The work described in this dissertation was largely motivated by the aim of producing a survey on the theory of group extensions. From the broad scope of the theory of group extensions we single out two aspects to discuss, ... 
Ermakov systems : a group theoretic approach.
(1993)The physical world is, for the most part, modelled using second order ordinary differential equations. The timedependent simple harmonic oscillator and the ErmakovPinney equation (which together form an Ermakov system) ... 
Noether's theorem and first integrals of ordinary differential equations.
(1997)The Lie theory of extended groups is a practical tool in the analysis of differential equations, particularly in the construction of solutions. A formalism of the Lie theory is given and contrasted with Noether's theorem ... 
The paradigms of mechanics : a symmetry based approach.
(1996)An overview of the historical developments of the paradigms of classical mechanics, the free particle, oscillator and the Kepler problem, is given ito (in terms of) their conserved quantities. Next, the orbits of the three ... 
Algebraic properties of ordinary differential equations.
(1995)In Chapter One the theoretical basis for infinitesimal transformations is presented with particular emphasis on the central theme of this thesis which is the invariance of ordinary differential equations, and their first ... 
Parameters related to fractional domination in graphs.
(1995)The use of characteristic functions to represent wellknown sets in graph theory such as dominating, irredundant, independent, covering and packing sets  leads naturally to fractional versions of these sets and corresponding ...