A uniqueness and Existence theorem for a singular third-order boundary value Problem on [0, ∞) Original Research Article

It is proved that the singular third-order boundary value problem y‴ = f(y), y(0) = 0, y(+∞) = 1, y′(+∞) = y″(+∞) = 0, has a unique solution. Here f(y) = (1 − y)λg(y), λ > 0, g(y) is positive and continuous on (0, 1]. The problem arises in the study of draining and coating flows.