Browsing by Author "Demis Wubale"

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    On Existence of Positive Solutions of a Non- Linear three-Point Boundary-Value Problem
    (Addis Ababa University, 2014-06-06) Demis Wubale; Abdi Tadesse (PhD)
    This 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.