Geodesic
Steplike contrast structures for a second-order singularly perturbed quasilinear differential equation in the critical case
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 3, pp. 472-483 Cet article a éte moissonné depuis la source Math-Net.Ru

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For a second-order singularly perturbed differential equation that is linear with respect to the derivative, a solution is considered that has an interior steplike transition layer in the critical case. An asymptotic expansion of the solution with respect to a small parameter is constructed and substantiated. An equation for the transition point is derived. 
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     title = {Steplike contrast structures for a second-order singularly perturbed quasilinear differential equation in the critical case},
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O. E. Omel'chenko. Steplike contrast structures for a second-order singularly perturbed quasilinear differential equation in the critical case. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 3, pp. 472-483. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_3_a11/

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