Browsing by Author "Tadiyos, Gashawbeza"

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    Coexistence of Distributional and Rational Solution to Some Linear Ordinary Differential Equations
    (Addis Ababa University, 2016-03-21) Tadiyos, Gashawbeza; Abdi, Tadesse (PhD)
    In this paper, we visit a distributional solution of the di erential equation ty(n)(t) + my(n􀀀1)(t) + ty(t) = 0 where m and n are any integers with n 2 and t 2 R using Laplace transform technique. We nd that the types of Laplace transformable solution in the space of right-sided expiration depend on the relationship between m and n. Precisely, we have a distributional solution provided m n; and a weak solution otherwise.