A second-order singular three-point boundary value problem Original Research Article

The existence of a positive solution is obtained for the second-order three-point boundary value problem γ″ + ƒ (χ, γ) = 0, 0 < χ ≤ 1, y(0) = 0, γ(p) −γ(1) = 0, where 0 < p < 1 is fixed and where (χ, γ) is singular at χ = 0, = 0, and possibly at γ = ∞. The method applies a fixed-point theorem for mappings that are decreasing with respect to a cone.