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Coppel, W. A., On a differential equation of boundary layer theory. Phil. Trans. Roy. Soc. London, Ser. A, 253, 101–136 (1960).
Davey, A., Boundary-layer flow at a saddle point of attachment. J. Fluid Mech. 10, 593–610 (1961).
Hartman, P., Ordinary Differential Equations. New York: John Wiley 1964.
Hastings, S. P., On the existence of a solution of a system x(t)=f(t, x) which remains in a given set. Annales Polonici Mathematici XIX, 201–205 (1967).
Howarth, L., The boundary layer in three dimensional flow I. Phil. Mag. (7) 42, 239–243 (1951).
Howarth, L., Laminar Boundary Layers. Handbuch der Physik, vol. 8/1. Berlin-Göttingen-Heidelberg: Springer 1959.
Ho, D., & H. K. Wilson, A boundary value problem arising in boundary layer theory. Arch. Rational Mech. Anal. 27, 165–174 (1967).
Iglisch, R., Elementarer Existenzbeweis für die Strömung in der laminaren Grenzschicht zur Potentialströmung U=u,x m mit m>0 bei Absaugen und Ausblasen. Zeit. Ang. Math. Mech. 33, 143–147 (1953).
Iglisch, R., & F. Kemnttz, Über die in der Grenzschichttheorie auftretende Differentialgleichung \(f''' + f''\user1{ }f + \beta \left( {1 - f'^{\text{2}} } \right) = 0\) für β<0 bei gewissen Absauge- und Ausblasengezetzen. 50 Jahre Grenzschichtforschung. Braunschweig (1955).
McLeod, J. B., & J. Serrin, The existence of similar solutions for some boundary layer problems. Arch. Rational Mech. Anal. 31, 288–303 (1968).
Newman, M. H. A., Elements of the Topology of Plane Sets of Points, 2nd Edition. Cambridge: Univ. Press (1961).
Serrin, J., Lectures on the Navier-Stokes Equation. 1967 Edinburgh Instructional Conference on Differential Equations.
Weyl, H., On the differential equations of the simplest boundary-layer problems. Ann. Math. 43, 381–407 (1942).
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Communicated by J. Serrin
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Hastings, S.P. An existence theorem for a problem from boundary layer theory. Arch. Rational Mech. Anal. 33, 103–109 (1969). https://doi.org/10.1007/BF00247754
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DOI: https://doi.org/10.1007/BF00247754