Browsing by Author "Tadiyos, Gashawbeza"
Now showing 1 - 1 of 1
Results Per Page
Sort Options
Item 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(n1)(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.