Geodesic
Steplike contrast structure in a singularly perturbed system of equations with different powers of small parameter
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 11, pp. 1983-2003 Cet article a éte moissonné depuis la source Math-Net.Ru

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A singularly perturbed boundary value problem for a system of equations with different powers of a small parameter is considered in the one-dimensional case. The asymptotic behavior and existence of a solution with an internal transition layer are analyzed. The asymptotics are substantiated using the asymptotic method of differential inequalities. 
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V. F. Butuzov; N. T. Levashova; A. A. Mel'nikova. Steplike contrast structure in a singularly perturbed system of equations with different powers of small parameter. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 11, pp. 1983-2003. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_11_a6/

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