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References
Erdélyi, A., On a nonlinear boundary value problem involving a small parameter. J. Australian Math. Soc. 2, part 4, 425–439 (1962).
Harris, W.A., Jr., Singular perturbations of a boundary value problem for a nonlinear system of differential equations. Duke Math. J. 29, 429–446 (1962).
Macki, J.W., Singular Perturbations of a Boundary-Value Problem for a System of Nonlinear Differential Equations. Ph. D. Thesis California Institute of Technology, Pasadena, 1964.
Wasow, W., Singular perturbations of boundary value problems for nonlinear differential equations of the second order. Comm. Pure and Appl. Math. 9, 93–113 (1956).
Briš, N.I., On boundary value problems for the equation ɛy″=f(x, y, y′) for small ɛ. Doklady 95, (3) (1954) [Russian].
Vasil'eva, A.B., Asymptotic behaviour of solutions to certain problems involving nonlinear differential equations containing a small parameter multiplying the highest derivatives. Russian Math. Surveys 18, (1963).
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Communicated by A. Erdélyi
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Macki, J.W. Singular perturbations of a boundary value problem for a system of nonlinear ordinary differential equations. Arch. Rational Mech. Anal. 24, 219–232 (1967). https://doi.org/10.1007/BF00281344
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DOI: https://doi.org/10.1007/BF00281344