Abdi Tadesse (PhD)Demis Wubale2020-12-142023-11-042020-12-142023-11-042014-06-06http://etd.aau.edu.et/handle/123456789/24031This paper is highly dependent on the work of Ruyun Ma and it stabilizes some conditions for the existence of positive solutions to the boundary value problem u00 + a(t)f(u) = 0; t 2 (0; 1) u(0) = 0; u( ) = u(1); where 0 < < 1 and 0 < < 1 . We show the existence of at least one positive solution if f is either superlinear or sublinear by applying the xed point theorem in cones.enExistencePositive SolutionsNon- Linear three-PointBoundary-ValueProblemOn Existence of Positive Solutions of a Non- Linear three-Point Boundary-Value ProblemThesis