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On the boundary value problems for ordinary differential equations with turning points

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Abstract

In this paper, we consider the boundary value problems of the form

$$\begin{gathered} \varepsilon y'' - f(x,\varepsilon )y' + g(x,\varepsilon )y = 0 ( - a \leqslant x \leqslant b, 0< e \ll 1) \hfill \\ y( - a) = \alpha , y(b) = \beta \hfill \\ \end{gathered} $$

where f (x,0) has several and multiple zeros on the interval [−a,b]. The conditions for exhibiting boundary and interior layers are given, and the corresponding asymptotic expansions of solutions are constructed.

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University of Technology, Shanghai

    Jiang Fu-ru

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  1. Jiang Fu-ru
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Dedicated to the Tenth Anniversary and One Hundred Numbers of AMM (II)

The Project supported by the National Natural Science Foundation of China

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Fu-ru, J. On the boundary value problems for ordinary differential equations with turning points. Appl Math Mech 12, 121–129 (1991). https://doi.org/10.1007/BF02016531

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  • DOI: https://doi.org/10.1007/BF02016531

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