Applied Mathematics and Mechanics

, Volume 12, Issue 2, pp 121–129 | Cite as

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

  • Jiang Fu-ru


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.

Key words

ordinary differential equations singular perturbation turning point problem 


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Copyright information

© Shanghai University of Technology 1991

Authors and Affiliations

  • Jiang Fu-ru
    • 1
  1. 1.Shanghai Institute of Applied Mathematics and MechanicsShanghai University of TechnologyShanghai

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