Browsing by Author "Bizuneh Minda"

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    Benefits and Challenges of the Upcoming Capital Markets in Ethiopia
    (A.A.U, 2020-06) Bizuneh Minda; Temesgen Worku
    Ethiopia is one of the few countries in Africa that does not have a stock market. Currently, the government has a plan to establish a secondary cap- ital market by 2020. There are controversial issues among researchers re- garding the relevance of the capital market in developing countries. Thus, this research is aimed to clear these issues by analyzing the country's current economic situation. The researcher is used the country's current prevailing secondary data from the web pages of NBE, World Bank and other sources and try to persuade some of the bene ts and challenges of the country regarding the upcoming implementation of the capital mar- kets. Based on the data sources, I have found out that the capital markets help to complement the development of the nancial sector, highly e - cient mechanism for channeling local savings to investments, reduce cost of capital and unemployment, o er liquidity to investments, reduce invest- ment risks, help for government nancing and contribute for uni cation of the country. However, capital markets are not free from challenges. Some of the challenges that the emerging market in Ethiopia faces are lack of experience of expertise, e ective regulation and supervision, nancial in- frastructure and investors' nancial literacy. Finally, ways to alleviate these challenges are forwarded to the respective bodies.
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    New Contributions to Hardy-type Inequalities and Boundary-Domain Integral Equations
    (Addis Ababa University, 2025-06) Bizuneh Minda; Sorina Barza (Professor)
    For a large class of operators acting between weighted `1 spaces, exact formulas are obtained for their norms and the norms of their restrictions to the cones of nonnegative sequences and nonnegative monotone sequences. The weights involved are arbitrary nonnegative sequences and may differ in the domain and codomain spaces. The results are applied to the Ces`aro and Copson operators, giving their norms and their distances to the identity operator on the whole space and on the cones. Simplifications of these formulas are derived in the case of these operators acting on power-weighted `1. As an application, best constants are given for inequalities relating the weighted `1 norms of the Ces`aro and Copson operators both for general weights and for power weights. Moreover, we characterize the optimal non-absolute domain for the Hardy operator (and its dual) minus the identity, in the Lebesgue space Lp(0;1), 1 _ p _ 1. For variable coefficient Helmholtz equation, using appropriate parametrix, we formulate boundary-domain integral equations (BDIEs) for the Dirichlet and mixed (Dirichlet-Neumann) boundary value problems (BVPs) in a twodimensional bounded domain. The Dirichlet BVP is reduced to two different BDIE systems, depending on whether the trace or co-normal derivative of the third Green identity is employed on the boundary. On the other hand, the mixed BVP is reduced to four different BDIE systems, depending on whether the trace or co-normal derivative of the third Green identity is employed on the Dirichlet and Neumann boundaries. It is not clear in advance which of them will be more suitable for particular applications and for numerical implementation, and hence we analyzed all the BDIE systems. The equivalence between the BVPs and the formulated BDIE systems are shown. Fredholm properties, invertibility and unique solvability of BDIE systems are investigated in appropriate Sobolev spaces.