Research Articles: Recent submissions
Now showing items 21-34 of 34
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On estimates for the number of negative eigenvalues of two-dimensional Schrodinger operators with potentials supported by Lipschitz curves
(2017-08)In this paper we present quantitative upper estimates for the number of negative eigenvalues of a two-dimensional Schrodinger operator with potential supported by an unbounded Lipschitz curve. The estimates are given in ... -
Modeling the Dynamics of Banana Xanthomonas Wilt Transmission Incorporating Infectious Force in both Asymptomatic and Symptomatic Stages
(Journal of Advances in Mathematics and Computer Science, 2017-10-27)Despite massive efforts by regional governments and partners in the East and Central African Region towards _ghting Xanthomonas Wilt of banana, the disease is reported to continue to spread to new areas and resurge in ... -
Group divisible designs of four groups and block size five with configuration (1; 1; 1; 2)
(Journal of Algebra Combinatorics Discrete Structures and Applications, 2016-03-03)We present constructions and results about GDDs with four groups and block size five in which each block has Configuration (1; 1; 1; 2), that is, each block has exactly one point from three of the four groups and two points ... -
Estimates for the number of eigenvalues of two dimensional Schrodinger operators lying below the essential spectrum
(arXiv preprint arXiv, 2016-09)The celebrated Cwikel-Lieb-Rozenblum inequality gives an upper estimate for the number of negative eigenvalues of Schrodinger operators in dimension three and higher. The situation is much more difficult in the two dimensional ... -
On the spectrum of the Laplacian on a strip with various boundary conditions
(Far East Journal of Mathematical Sciences (FJMS, 2017-07-30)In this paper, the spectrum of the Laplace operator on a strip with constant width subject to four different boundary conditions is investigated. In all the four situations, we prove that its spectrum starts from the first ... -
On the discrete spectrum of Schr¨odinger operators with Ahlfors regular potentials in a strip
(Journal of Mathematical Analysis and Applications, 2019-03-15)In this paper, quantitative upper estimates for the number of eigenvalues lying below the essential spectrum of Schrodinger operators with potentials generated by Ahlfors regular measures in a strip subject to two different ... -
On Optimal Representatives of Finite Coloured Linear Orders
(Order, 2019-05-02)Two structures A and B are n-equivalent if player II has a winning strategy in the n-move Ehrenfeucht-Fra¨ıss´e game on A and B. We extend earlier results about equivalence classes for finite colored linear orders, describing ... -
Eigenvalue Bounds for a Class of Schrödinger Operators in a Strip
(Journal of Mathematics, 2018-12-12)This paper is concerned with the estimation of the number of negative eigenvalues (bound states) of Schrodinger operators in a strip subject to Neumann boundary conditions. The estimates involve weighted 𝐿1 norms and 𝐿 ... -
Ehrenfeucht-fra¨ iss´e games on a class of Scattered linear orders
(arXiv preprint arXiv, 2018-01-02)Two structures A and B are n-equivalent if player II has a winning strategy in the n-move Ehrenfeucht-Fra¨ıss´e game on A and B. In earlier papers we studied n-equivalence classes of ordinals and coloured ordinals. In this ... -
Counting negative eigenvalues of one-dimensional schrodinger operators with Singular potentials
(Gulf Journal of Mathematics, 2019)In this paper, we extend the well-known estimates for the number of negative eigenvalues of one-dimensional Schrodinger operators with potentials that are absolutely continuous with respect to the Lebesgue measure to the ... -
Countably categorical coloured linear orders
(Math. Log. Quart, 2010-03-18)In this paper, we give a classification of (finite or countable) ℵ0-categorical colored linear orders, generalizing Rosenstein’s characterization of ℵ0-categorical linear orderings. We show that they can all be built from ... -
Classification of Finite Coloured Linear Orderings
(Order, 2010-09-07)This paper concerns the classification of finite coloured linear orders up to n-equivalence. Ehrenfeucht–Fraïssé games are used to define what this means, and also to help analyze such structures. We give an explicit bound ... -
Accent and Ugandan Students’ Comprehension of Mathematical Concepts and Terms: An Experimental Study.
(African Journal of Teacher Education, 2020)The embrace of diversity and multiculturalism in education facilitates the broadening of students’ Experiences as they engage with teachers and classmates from backgrounds different than their own. However, while the ... -
Estimates for the number of eigenvalues of two dimensional Schr odinger operators lying below the essential spectrum
(arXiv preprint arXiv, 2016-09)The celebrated Cwikel-Lieb-Rozenblum inequality gives an upper estimate for the number of negative eigenvalues of Schr odinger operators in dimension three and higher. The situation is much more difficult in the two ...
