This article is cited in 13 papers

Generalization of the Boundary Function Method for Solving Boundary-Value Problems for Bisingularly Perturbed Second-Order Differential Equations

K. Alymkulov^a, T. D. Asylbekov^a, S. F. Dolbeeva<sup>b

a</sup> Osh State University
^b Chelyabinsk State University

Abstract: A bisingular boundary-value problem for an ordinary differential equation is considered. The asymptotics of the solution as the sum of an outer expansion and an analog of a number of functions of the boundary layer is constructed.

Keywords: bisingularly perturbed differential equation, boundary-value problem, boundary function method, maximum principle.

UDC: 517.928

Received: 16.07.2012

DOI: 10.4213/mzm10317

 English version: Mathematical Notes, 2013, 94:4, 451–454

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