Now showing items 1-10 of 12
Cosmological models and the deceleration parameter.
In this thesis we utilise a form for the Hubble constant first proposed by Berman (1983) to study a variety of cosmological models. In particular we investigate the Robertson-Walker spacetimes, the Bianchi I spacetime, ...
Queueing and communication networks governed by generalised Lindley-Loynes equations.
Several decades after A.K. Erlang originated the theory of queues and queueing networks, D.V. Lindley added impetus to the development of this field by determining a recursive relation for waiting times. Part I of this ...
Modelling the spatial dynamics of a semi-arid grazing system.
A large proportion of the world's land surface is covered by semi-arid grasslands, and they provide an important source of income as a grazing resource. A more comprehensive understanding of these complex ecosystems is ...
The application of the multigrid algorithm to the solution of stiff ordinary differential equations resulting from partial differential equations.
We wish to apply the newly developed multigrid method  to the solution of ODEs resulting from the semi-discretization of time dependent PDEs by the method of lines. In particular, we consider the general form of two ...
The preliminary group classification of the equation utt = f(x,ux)uxx + g(x, ux)
We study the class of partial differential equations Utt = f(x, ux)uxx + g(x, u x), with arbitrary functions f(x, u x) and g(x, u x), from the point of view of group classification. The principal Lie algebra of infinitesimal ...
Completion of uniform and metric frames.
The term "frame" was introduced by C H Dowker, who studied them in a long series of joint papers with D Papert Strauss. J R Isbell , in a path breaking paper  pointed out the need to introduce separate ...
Closure operators on complete lattices with application to compactness.
No abstract available.
Locally finite nearness frames.
The concept of a frame was introduced in the mid-sixties by Dowker and Papert. Since then frames have been extensively studied by several authors, including Banaschewski, Pultr and Baboolal to mention a few. The idea of ...
Cosmological attractors and no-hair theorems.
Interest in the attracting property of de Sitter space-time has grown during the 'inflationary era' of cosmology. In this dissertation we discuss the more important attempts to prove the so called 'cosmic no-hair conjecture' ...
Aspects of spherically symmetric cosmological models.
In this thesis we consider spherically symmetric cosmological models when the shear is nonzero and also cases when the shear is vanishing. We investigate the role of the Emden-Fowler equation which governs the behaviour ...