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On a nonlinear boundary value problem involving a small parameter*

Published online by Cambridge University Press:  09 April 2009

A. Erdéyi
A. Erdéyi
Affiliation:
California Institute of Technology Pasadena, California, U.S.A.
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In this paper we shall discuss the boundary value problem consisting of the nonlinear ordinary differential equation of the second order, and the boundary conditions.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 2 , Issue 4 , December 1962 , pp. 425 - 439
Copyright
Copyright © Australian Mathematical Society 1962

References

[1]Coddington, E. A. and Levinson, N., A boundary value problem for a nonlinear differential equation with a small parameter. Proc. Amer. Math. Soc. 3 (1952), 73–81.CrossRefGoogle Scholar
[2]Wasow, W., Singular perturbations of boundary value problems for nonlinear differential equations of the second order. Comm. Pure Appl. Math. 9 (1956), 93–113.CrossRefGoogle Scholar
[3]Briš, N. I., On boundary problems for the equation εy″ = f(x, y, y′, ε) for small ε′s. (Russian) Dokl. Akad. Nauk SSSR (N. S.) 95 (1954) 429–432.Google Scholar