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Boundary layer methods for ordinary differential equations with small coefficients multiplying the highest derivatives

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Constructive and Computational Methods for Differential and Integral Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 430))

Abstract

Many singular perturbation problems of applied mathematics involve differential equations with a small parameter multiplying the highest derivatives. Many of the asymptotic results obtained through the familiar boundary layer methods carry over to equations with small coefficients multiplying these derivatives. Moreover, these results can be readily obtained through numerical experimentation. Specific results are given for boundary value problems for certain higher order linear equations and for some second order quasilinear equations.

This work supported in part by the Office of Naval Research under Grant No. N00014-67-A-0209-0022.

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Authors and Affiliations

  1. Department of Mathematics, University of Arizona, 85721, Tucson, Arizona

    R. E. O'Malley Jr.

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  1. R. E. O'Malley Jr.
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David Lem Colton Robert Pertsch Gilbert

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© 1974 Springer-Verlag

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O'Malley, R.E. (1974). Boundary layer methods for ordinary differential equations with small coefficients multiplying the highest derivatives. In: Colton, D.L., Gilbert, R.P. (eds) Constructive and Computational Methods for Differential and Integral Equations. Lecture Notes in Mathematics, vol 430. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066277

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  • DOI: https://doi.org/10.1007/BFb0066277

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07021-4

  • Online ISBN: 978-3-540-37302-5

  • eBook Packages: Springer Book Archive

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