Ma, Ruyun2019-11-222019-11-221999-09-15Ma, R. (1999). Positive solutions for a nonlinear three-point boundary-value problem. Electronic Journal of Differential Equations, 1999(34), pp. 1-8.1072-6691https://hdl.handle.net/10877/8867We study the existence of positive solutions to the boundary-value problem u'' + α(t)ƒ(u) = 0, t ∈ (0,1) u(0) = 0, αu(ƞ) = u(1), where 0 < ƞ < 1 and 0 < α < 1/ƞ. We show the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem in cones.Text8 pages1 file (.pdf)enAttribution 4.0 InternationalSecond-order multi-point BVPPositive solutionConeFixed pointArticle