Geodesic
On the Special Properties of the Boundary Layer in Singularly Perturbed Problems with Multiple Root of the Degenerate Equation
Matematičeskie zametki, Tome 94 (2013) no. 1, pp. 68-80

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Using the boundary-value problem for the singularly perturbed second-order differential equation as an example, we show that the multiplicity of the root of the degenerate equation significantly affects the asymptotics of the solution, especially in the boundary layer.
Keywords: singularly perturbed problem, second-order differential equation, boundary layer, boundary layer series. 
V. F. Butuzov. On the Special Properties of the Boundary Layer in Singularly Perturbed Problems with Multiple Root of the Degenerate Equation. Matematičeskie zametki, Tome 94 (2013) no. 1, pp. 68-80. http://geodesic.mathdoc.fr/item/MZM_2013_94_1_a5/
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