This article is cited in 4 papers

Boundary layers in the solution of singularly perturbed boundary value problem with a degenerate equation having roots of multiplicity two

A. B. Vasil'eva

Faculty of Physics, Moscow State University, Moscow, 119992 Russia

Abstract: The occurrence of exponential boundary layers in a second-order ordinary differential equation due to the fact that the degenerate equation has a root of multiplicity two is briefly reviewed.

Key words: singularly perturbed ordinary differential equation of second order, existence of roots of degenerate equation, boundary layers, the method of upper and lower solutions.

UDC: 519.624.2

Received: 29.04.2010
Revised: 01.08.2010

 English version: Computational Mathematics and Mathematical Physics, 2011, 51:3, 351–354

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