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A Note on the Existence of a Solution of the Falkner-Skan Equation

We are concerned with the existence proof of solution of the Falkner-Skan equation 1 subject to boundary conditions 2 The first existence and uniqueness proof based on a fixed point theorem was given by Weyl [4] in 1942, with the added assumption that f' > 0. In 1960, Coppel [1] proved the existence (and uniqueness with the assumption 0 < f' < 1) by considering trajectories in the three-dimensional phase space.