• Development of Amharic Locale Integrating System in Open Source Database 

  Misgan, Yonathan (Addis Ababa University, 2020-06-04)

  Nowadays, in many domains, managing data according to local convention is required to be taken into account. Due to this, most of the existing system environments include the models for internationalization to allow developer ...
• Dirichlet Series With Functional Equations, Automorphic Integrals and Arithmetical Identities 

  Gebreegziabher, Tewelde (Addis Ababa University, 2020-07-14)

  Chanrasekharan and Narasimhan in [2] have shown that the functional equation Γ(s)ϕ(s) = Γ(δ−s)ψ(δ−s) is equivalent to two arithmetical identities. In [5] Hawkins and Knopp proved a Hecke correspondence theorem for ...
• Topological and Dynamical Properties of Volterra-Type Integral and Differential Operators on Fock-Type Spaces 

  Humer, Mafuz (Addis Ababa University, 2020-06-05)

  Many real world problems can be modelled using different forms of differential and integral operators. Due to this, studying various properties of these class of operators have been an important area of research in ...
• Three-Person Cooperative Game and its Application in Decision Making Process of Hierarchical Organizations 

  Dejenee, Abiy (Addis Ababa University, 2007-08-03)

  The solution of an n-level linear problem, when the levels make decisions se- quentially and independently, is not necessarily pareto-optimal, i.e.there exist feasible points which o®er increased payo®s to some levels ...
• Harmonic Function and Partial Di erential Equations 

  Debebe, Wubshet (Addis Ababa University, 2019-07-05)

  This paper is concerned with harmonic function and partial di erential equation. Harmonic functions are regarded as solutions of Laplace equation which have a number of properties that are essential in solving partial ...
• Mathematical Analysis of Plant-Herbivore Interaction: With Temporal and Spatial Variations in the Ethiopian Climate 

  Debalike, Manalebish (Addis Ababa University, 2018-12-03)

  In ecology, the food chain pyramid suggests that there must be less consumers than their food source. In our case the balance in the population of plants and herbivores should be maintained in the ecosystem. Otherwise, ...
• Numerics in One-Dimensional Wave Propagation 

  Molla, Fetene (Addis Ababa University, 2019-06-03)

  This project provides a practical overview of numerical solutions to the wave equation of nite string using the nite di erence method. The second order central di erences for time and space is applied to a problems ...
• Numerical Methods for Solving System of Hyperbolic Uncoupled Pdes 

  Kiyak, Anteneh (Addis Ababa University, 2019-07-02)

  This thesis concentrates on numerical methods for solving hyperbolic un- coupled PDEs systems with two independent variables (space and time)and whose model problem is vt +Avx = 0 for which A is assumed to be a diagonalized ...
• Numerical Methods for Solving System of Hyperbolic Uncoupled Pdes 

  Kiyak, Anteneh (Addis Ababa University, 2019-07-02)

  This thesis concentrates on numerical methods for solving hyperbolic un- coupled PDEs systems with two independent variables (space and time)and whose model problem is vt +Avx = 0 for which A is assumed to be a diagonalized ...
• Optimization Problems in Classes of Rearrangements 

  Feyissa, Kebede (Addis Ababa University, 2019-05-23)

  This work is concerned with maximization and minimization problems of functionals associated with solutions of elliptic di erential equations depending on functions which belong to classes of rearrangements. We prove ...
• Invertibility of Single Layer Potential in 2d 

  Melese, Getahun (Addis Ababa University, 2019-06-03)

  In this work we investigate the invertibility of single layer potential operator in 2D. The single layer potential operator contains non trivial kernel. Consequently, we need to set conditions on the domain or the space ...
• Solving Second Order Pdes Using Fourier Transform 

  Mekuria, Kassa (Addis Ababa University, 2019-07-03)

  This project is concerned with the Fourier transform methods for second order partial di erential equations. In particular, solving wave, Laplace and heat equations using Fourier transform. We also introduce the theory ...
• Submitted in Partial Ful_Lment of the Requirement for the Degree of Master of Science in Mathematics 

  Hailu, Tefera (Addis Ababa University, 2019-05-30)

  This thesis is concerned with some Fundamental solution and Green's function for a System of second order and more, for Linear Elliptic partial di erential equations in two or more independent variables. Fundamental ...
• Analysis of Boundary Integral Equations for Laplace Dirichlet Bvp In 2d 

  Fekade, Behailu (Addis Ababa University, 2016-08-04)

  Using an appropriate fundamental solution, Dirichlet boundary value problem is reduced to some direct Boundary Integral Equations (BIEs). Although the theory of BIEs in 3D is well developed, the BIEs in 2D need a special ...
• on Bessel Functions and the Modified Bessel Functions and its Properties 

  kebede, Basazenew (Addis Ababa University, 2018-08-03)

  In this paper we study Bessel differential equation of the form ���������� + ������ + (���� − ����)�� = 0, and the modified Bessel equation of the form ���������� + ������ − (���� + ����)�� = 0 Along with the corresponding ...
• Fenchel Duality 

  Derese, Awoke (Addis Ababa University, 2015-10-03)

  On this project we will see Fenchel Duality.If the function is convex and di er- entiable every where,then we can nd the minimizer by setting the derivative to zero. If the function is convex but not di erentiable, then ...
• Climate Dependent Malaria Disease Transmission Model and its Analysis 

  Workalemahu, Kassahun (Addis Ababa University, 2018-01-05)

  The impact of climate change on human health, particularly through the potential increase in vector- and water-borne diseases, has received increasing attention in recent years. Environmental variables are known to a_ect ...
• Application of Schauder’s Fixed Point Theorem for Semilinear Evolution Equations 

  Leikun, Abie (Addis Ababa University, 2018-09-03)

  This thesis is concerned with Semilinear evolution equations on a bounded Ω n<Rn with boundary conditions. Existence and uniqueness result of classical, mild and strong solutions of the problem is established using ...
• Legendre Differential Equation and its Application 

  Asfeha, Teame (Addis Ababa University, 2018-09-05)

  In this thesis we study various solution techniques of the Legendre differential equations, properties of the Legendre polynomials and the physical applications of Legendre equations and Legendre polynomials to heat ...

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