Angular equivalence is introduced and shown to be an equivalence relation among the norms on a fixed real vector space. It is a finer notion than the usual (topological) notion of norm equivalence. Angularly equivalent ...
We obtain Edelstein-Suzuki type theorems for multivalued mappings in compact b-metric spaces. Moreover, we prove the
existence of coincidence and common fixed points of a hybrid pair of mappings that satisfies Edelstein-Suzuki ...
Jooste, Alta; Driver, K.(Taylor and Francis, 2017-04)
We consider the interlacing of zeros of polynomials within the sequences of quasi-orthogonal order one Meixner polynomials characterised by −β, c ∈ (0, 1). The interlacing of zeros of quasi-orthogonal Meixner polynomials ...
Malinzi, Joseph; Eladdadi, Amina; Sibanda, Precious(Taylor and Francis, 2017-05)
Chemovirotherapy is a combination therapy with chemotherapy and oncolytic viruses. It is gaining more interest and attracting more attention in the clinical setting due to its effective therapy and potential synergistic ...
Flint, Emlyn James; Mare, Eben(University of Pretoria, Department of Economics, 2017-03-29)
BACKGROUND : Contingent claims on underlying assets are typically priced under a framework
that assumes, inter alia, that the log returns of the underlying asset are normally distributed.
However, many researchers have ...
Abbas, Mujahid; Ali, Bashir; Suleiman, Yusuf I.(SpringerOpen, 2016-12)
In this work, we initiate the notions of dislocated-Ab-quasi-metric and
Ab-quasi-metric-like spaces. Then we establish the existence of a common fixed point
of weakly compatible mappings satisfying a contractive condition ...
Weldegiyorgis, Gediyon Yemane(University of Pretoria, 2017)
In this dissertation, boundary stabilization of a linear hyperbolic system of balance laws is
considered. Of particular interest is the numerical boundary stabilization of such systems. An
analytical stability analysis ...
Wannenburg, Johann Joubert(University of Pretoria, 2017)
After recalling some prerequisites from universal algebra in Chapter 1, we
recount in Chapter 2 the general theory of deductive (logical) systems. As
working examples, we consider the exponential-free fragment CLL of ...
Tegegn, Tesfalem Abate(University of Pretoria, 2017)
This thesis is divided into three main parts devoted to the study of magnetohydrodynamics
(MHD) turbulence flows.
Part I consists of introduction and background (or preliminary) materials which
were crucially important in ...
Richards, Mark Timothy(University of Pretoria, 2017)
In this dissertation we consider the valuation of discretely monitored barrier
options under the in nite element method. The in nite element method is
an extension to the standard nite element method that accepts problems
with ...
Agbebaku, Dennis Ferdinand(University of Pretoria, 2017)
In this thesis, the Order Completion Method for nonlinear partial differential equation, in
the setting of convergence spaces, is interpreted in terms of the algebraic theory of gen-
eralised functions. In particular, ...
The aim of the study is to determine the extent to which secondary school learners are dependent on
using calculators for performing basic calculations and operations. The purpose of the study is to obtain
findings and ...
The classical theory of risk neutral derivative pricing relies on the
underlying market model being Markovian and complete. We present
the theory of stochastic di erential equations relevant to risk neutral
pricing, with ...
We prove a partial non-commutative analogue of the Furstenberg-Zimmerman Structure
Theorem, originally proved by Tim Austin, Tanya Eisner and Terence Tao.
In Chapter 1, we review the GNS construction for states on von ...
In this PhD thesis, we construct numerical methods to solve problems described by advectiondiffusion
and convective Cahn-Hilliard equations. The advection-diffusion equation models
a variety of physical phenomena in fluid ...
Anguelov, Roumen; Stoltz, Stephanus Marnus(Elsevier, 2017-03)
This paper presents a numerical investigation into the pattern formation mechanism in the Brusselator model focusing on the interplay between the Hopf and Turing bifurcations. The dynamics of a coupled Brusselator model ...