An existence theorem for a singular third-order boundary value problem on [0,+∞)

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An existence result for a singular third-order boundary value problem is proved in this work. Here the nonlinearity is of the form f ( y ) = ( 1 − y ) λ g ( y ) , where λ > 0 and g ( y ) is continuous and positive on ( 0 , 1 ] , and the boundary conditions are y ( 0 ) = 0 , y ( + ∞ ) = 1 , y ′ ( + ∞ ) = y ″ ( + ∞ ) = 0 . The problem arises in the study of draining and coating flows.