Pure Mathematics
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On the geometry of CR-manifolds.
(2015)We study two classes of CR-submanifolds in Kählerian and cosymplectic manifolds. More precisely, we compare the geometry of CR-submanifolds of the above two underlying smooth manifolds. We derive expressions relat- ing ... -
Iterative algorithms for approximating solutions of variational inequality problems and monotone inclusion problems.
(2017)In this work, we introduce and study an iterative algorithm independent of the operator norm for approximating a common solution of split equality variational inequality prob- lem and split equality xed point problem. ... -
Combined impulse control and optimal stopping in insurance and interest rate theory.
(2015)In this thesis, we consider the problem of portfolio optimization for an insurance company with transactional costs. Our aim is to examine the interplay between insurance and interest rate. We consider a corporation, such ... -
Some amenability properties on segal algebras.
(2017)It has been realized that the definition of amenability given by B. E. Johnson in his Classical Memoir of American Mathematical Society in 1972 is too restrictive and does not allow for the development of a rich general ... -
On pseudo-amenability of C(X;A) for norm irregular banach algebra A.
(2017)Abstract available in PDF file. -
On the null geometry of quasi generalized CR-submanifolds of indefinite nearly α-Sasakian manifolds.
(2017)Generalized CR (GCR)-lightlike submanifolds of indefinite almost contact manifolds were introduced by K. L. Duggal and B. Sahin, with the assumption that they are tangent to the structure vector field ξ of the almost ... -
Approximation methods for solutions of some nonlinear problems in Banach spaces.
(2017)Abstract available in PDF file. -
Mathematical modeling of R5 and X4 HIV : from within host dynamics to the epidemiology of HIV infection.
Most existing models have considered the immunological processes occurring within the host and the epidemiological processes occurring at population level as decoupled systems. We present a new model using continuous ... -
Spherically symmetric charged Einstein-Maxwell 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.
(2014-06-19)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.
(2013-10-31)We consider shear-free 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.
(2013-06-04)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 cross-diffusion.
(2012)In this thesis we studied convection and cross-diffusion 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 semi-infinite plate.
(2012)In this dissertation we investigate free convective heat and mass transfer in micropolar fluid flow past a moving semi-infinite 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 post-apartheid 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 ...
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