Pure and Applied Mathematics
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Operation of mutation on Polar quivers
(Maseno university, 2009)In recent times, there has been a lot of interest in the study of quivers, both by mathematicians and theoretical physicists. We introduce a new concept of polar quivers and their mutation. The idea of polar quivers arises ... 
Norms of tensor products and elementary Operators
(Maseno university, 2009)In this thesis, we determine the norm of a twosided symmetric operator in an algebra. More precisely, .we investigate the lower bound of the operator using the injective tensor norm. Further, we determine the norm of ... 
On norms of elementary operators
(2009)The study of elementary operators has been of great interest to many mathematicians for the past two decades. Of special interest has been to determine the norms of these operators. The norm problem for elementary operators ... 
Mathematics of Pesticide Adsorption in a Porous Medium: ConvectiveDispersive Transport with steady state water flow In two Dimension
(Maseno university, 2007)The transport of solutes through porous media where chemicals undergo adsorption or change process on the surface of the porous materials has been a subject of research over years. Usage of pesticides has resulted in ... 
Numerical solution of Kortewegde vries equation
(Maseno university, 2008)The Kottewegde Vrres(KdV)is a mathematical model of waves on shallow water surfaces. The mathematical theory behind the KdV equation is rich and interesting, and, in the broad sense, is a topic of active mathematical ... 
On a generalized qnumerical Range
(Maseno university, 2008)We 'consider numerical ranges of a bounded linear operator on complex Hilbert spaces. Many properties of the classical numerical range are known. We investigate the properties of the qnumerical range in relation to ... 
Mathematical modelling of flood Wave: a case study of Budalang'i Flood plain basin in Busia county, Kenya
(Maseno university, 2022)Flooding is a worldwide problem with more adverse e ects in developing countries. In Kenya, severe ooding is experienced on the lower tributaries of Lake Victoria, mainly Budalang'i area. This is indicated in the ... 
Norms of elementary operators.
(Maseno university, 2010)The norm of an elementary operator has been investigated over long period by several mathematician under various special circumstances. Timoney working on algebra of bounded linear operators on Hilbert spaces, established ... 
On completely bounded Operators
(2010)Calculating norms of matrices when the entries are not constants is the first problem tackled in this thesis. We have considered the space of matrices with entries from the algebra of bounded linear operators and ... 
Mathematical model for nonlinear stock price adjustment
(Maseno university, 2010)The field of financial mathematics has drawn a lot of interest from both practitioners and academicians since the derivation of Black Scholes model of 1970s. :Ihe celebrated option pricing formula, the socalled Black ... 
On the numerical ranges and Spectra of normal operators
(Maseno university, 2010)The study of numerical ranges and spectra has been of great interest to many mathematicians in the past decades. In this study, we have continued to look at the numerical ranges and spectra of operators .on a Hilbert space. ... 
On norms of a derivation
(Maseno university, 2010)The study of derivations still remains an area of interest to mathematicians today. Of special attention has been the study of norms of inner derivations. Most of the work in this area is based on Stampfli's result of ... 
Match Analysis of HIV/AIDS Model With Reference to Kenya
(Maseno University, 2011)Epidemiology models are used to combine complex data from various sources in order to study equally complex outcomes. The first simple HIV/AIDS epidemic model was by Anderson in 1986. Since then a lot has been done in ... 
On the Essential Numerical Range
(Maseno University, 2013)The convexity. closure and compactness of the numerical range among other properties constitute a considerable literature in operator theory. The properties of the essential numerical range and how they are related to ... 
Mathematical Model Incorporating Screening of Immigrants as A Control Against The Spread of Ebola
(Maseno University, 2017)Ebola Disease Outbreak (EVD) is an acute and often fatal disease in humans and nonhuman primates (monkeys, gorillas and chimpanzees). The disease is caused by infection with a virus of the family of Filoviridae, genus ... 
Numerical Solutions of Burgers Equation Using Hybrid Methods
(Maseno University, 2016)Research on Burgers equation: u_t + 〖uu〗_x = 〖αu〗_xx which is a second order nonlinear partial differential equation is gaining interest for its application and mathematics itself. It arises in model studies of turbulence ... 
Mathematical Model to Determine the Concentration of FlyAsh at Sony Sugar Company in Kenya
(Maseno University, 2015)Mathematical modeling continues to attract attention of applied math ematicians, physicists, engineers, biologists, research institutions and oth ers. This study focuses on air pollution concentration: a case study ... 
On completely positive maps
(Maseno University, 2015)Completely positive maps is an important field due to its significance, application and mathematics itself. While discussing the properties of the positive maps, researchers have questioned whether the properties of the ... 
Deficiency indices and spectra of Fourth order Differential Operators with Unbounded Coefficients on a Hilbert space
(Maseno University, 2016)The concept of unbounded operators provides an abstract framework for dealing with differential operators and unbounded observable such as in quantum mechanics. The theory of unbounded operators was developed by John Von ... 
The effect of constant and non constant pressure driving force on the power output in a solar chimney power plant
(Maseno University, 2015)Solar energy has a great potential for the future; it is free, its supplies are unlimited, it does not pollute the environment and cannot be controlled by one industry. Currently, the use of solar energy as an alternative ...