Browsing School of Biological, Physical, Mathematics & Actuarial Sciences by Title
Now showing items 157-176 of 246
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Nonzero Lie Brackets of Third Order Nonlinear Ordinary Differential Equation
(ResearchGate, 2018-06)Lie symmetry analysis of Ordinary Differential Equation can be used to obtain exact solution of the equation of the form F (x, y, y’ y’’ y’’’) = 0. In this paper we use Lie Symmetry analysis approach to obtain the nonzero ... -
The norm attainability of some elementary operators
(Applied Mathematics E-Notes, 2012) -
Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators
(Communications in Advanced Mathematical Sciences, 12/24/2018)Various aspects of elementary operators have been characterized by many mathematicians. In this paper, we consider norm-attainability and orthogonality of these operators in Banach spaces. Characterizations and generalizations ... -
Numerical Analysis of Mathematical Model for Carbon Pollution in Roads with Ventilated Embankments in Absence and Presence of Forced Convection
(International Journal of Multidisciplinary Sciences and Engineering, 2018-11)In this paper, a two-dimensional grid based numerical carbon pollution model for the estimation of carbon pollutant concentrations in roads is developed. The simulations of carbon pollutants in roads with ventilated ... -
Numerical Analysis of Prey Refuge Effects on the Stability of Holling Type III Four-Species Predator Prey System
(Scientific Research Publishing, 2023-06-29)The dynamic behavior of a multi-species system that includes a prey refuge and a Holling type III functional response is examined in this work. The pre-requisites for the presence of the equilibrium points, as well as their ... -
Numerical solution of dynamic vibration equation, ܠሷൌ ܐ܋܍ܛ ܠ
(IJEMS, 2016)In this paper, we examine conservative autonomous dynamic vibration equation, f(x) = sech x which is time vibration of the displacement of a structure due to the internal forces, with no damping or external forcing. Numerical ... -
Numerical solution of dynamic vibration equations
(International Journal of mathematical Archive, 2011-09)In this paper, we examine conservative autonomous dynamic vibration equation, , which is time vibration of the displacement of a structure due to the internal forces, with no damping or external ... -
Nutritional and developmental influences on components of rice crop light use efficiency
(Elsevier, 2016)Light use efficiency (LUE) plays a vital role in determination of crop biomass and yield. Important components of LUE, i.e. canopy structure, nitrogen distribution, photosynthetic capacity and CO2 diffusion conductance ... -
Occurrence of Fungal Foliar Diseases of Tomato in Different Agro-Ecological Zones of Kirinyaga County, Kenya
(Fundamental and Applied Agriculture, 2022-03-30)Tomato production is characterized by inconsistent quality and yields due to biotic constraints such as fungal foliar diseases. Information on the occurrence of the diseases in different agro-ecological zones of Kenya is ... -
Occurrence of nodulation in leguminous trees in Kenya
(Journal of Tropical Microbiology and Biotechnology, 2005)Exploitation of the potential for nitrogen fixing trees, soil improvement and multipurpose use, requires a good knowledge of their nodulation capabilities and agrosilvicultural manipulation. Nitrogen Fixation in some ... -
On Centre Properties of Irreducible Subalgebras of Compact Elementary Operators
(doi:10.30538/psrp-oma2020.0065, 2020)In this paper, we characterize the centre of dense irreducible subalgebras of compact elementary operators that are spectrally bounded. We show that the centre is a unital, irreducible and commutative C∗ -subalgebra. ... -
On Characterization of Very Rotund Banach Spaces
(International Journal of Modern Computation, Information and Communication Technology, 10/23/2018)It is known that the Hilbert space H is the most rotund space among all Banach spaces. The question whether if a normed space X is a rotund Banach space implies we can obtain other most rotund spaces is still open and ... -
On Compact Operators Whose Norms Are Eigenvalues and Completeness
(International Journal of Contemporary Mathematical Sciences, 2/21/2018)Let X be a Banach space and T: X→Y be a linear operator, then Tis compact if it maps bounded sequences in X to sequences in Y with convergent subsequences, that is, if xn ∈ X is a bounded sequence, then T xn ∈ Y has a ... -
On Compactness of Similarity Orbits of Norm-Attainable Operators
(International Journal of Mathematics And its Applications, 2019)The notion of compactness plays an important role in analysis. It has been extensively discussed on both metric and topological spaces. Various properties of compactness have been proved under the underlying spaces. However, ... -
On denseness of similarity orbits of norm-attainable operators
(International Journal of Advances in Applied Mathematics and Mechanics, 4/16/2019)The notion of dense sets has been extensively discussed on both metric and topological spaces. Various properties of the sets have been proved under the underlying spaces. However, if we consider these sets to be from ... -
On Equality of Complete Positivity and Complete Copositivity of Positive Map
(Journal of Linear and Topological Algebra, 5/30/2022)In this paper we construct a 2-positive map from M4(C) to M5(C) and state the conditions under which the map is positive and completely positive (copositivity of positive). The construction allows us to create a decomposable ... -
On local minimum and orthogonality of normal derivations in Cp-classes
(G.I publications, 2017-02)The present paper gives some results on local minimum and orthogonality of normal derivations in Cp-Classes. We employ some techniques for normal derivations due to Mecheri, Hacene, Bounkhel and Anderson. Let CpCp be normal, ... -
On necessary and sufficient conditions for rationality of operator norm bounds in measure spaces
(2016-11)Norm bounds are useful properties of operators with interesting applications in operator algebras and quantum mechanics. Rationality of these norm bounds is very important in the study of operators in measure spaces. As a ... -
On Norm Estimates for Derivations in Norm-Attainable Classes
(Eur. J. Math. Anal, 2023)In this note, we provide detailed characterization of operators in terms of norm-attainability and norm estimates in Banach algebras. In particular, we establish the necessary and sufficient conditions for norm-attainability ... -
On Norm Inequalities and Orthogonality of Commutators of Derivations
(Arxvi, 2019-03-25)