JournalszaaVol. 1 , No. 5pp. 1–15

Die Methode der Grenzschichtverbesserung für eine Masse entarteter gewöhnlicher Differentialgleichungen

  • Sybille Meyer

    Technische Universität Chemnitz, Germany
Die Methode der Grenzschichtverbesserung für eine Masse entarteter gewöhnlicher Differentialgleichungen cover
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Abstract

In this paper we generalize Visik’s and Ljusternik’s method for a symptotic solution of boundary value problems with a small parameter in the highest derivatives of the differential equation for a class of boundary value problems for non-self-adjoint ordinary differential equations of the order 2m2m, in which the coefficients have a zero of integer order in a boundary point. A part of the arising boundary layer equations having singularities. In Chapter 3 of this paper we calculate the index of the differential operators of this boundary layer equations in a certain pair of spaces of the positive half-axis. In Chapter 4 we construct the first term of an asymptotic solition for small parameter values.

Cite this article

Sybille Meyer, Die Methode der Grenzschichtverbesserung für eine Masse entarteter gewöhnlicher Differentialgleichungen. Z. Anal. Anwend. 1 (1982), no. 5 pp. 1–15

DOI 10.4171/ZAA/32