Abstract
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) λ g( y), λ > 0, g( y) is positive and continuous on (0, 1]. The problem arises in the study of draining and coating flows.
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