Geodesic
Two-point boundary value problem for a singularly perturbed equation with a reduced equation having multiple roots
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 6, pp. 1067-1079 Cet article a éte moissonné depuis la source Math-Net.Ru

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Contrast steplike structures for a singularly perturbed equation are considered in the case when the corresponding reduced equation has multiple roots. 
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A. B. Vasil'eva. Two-point boundary value problem for a singularly perturbed equation with a reduced equation having multiple roots. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 6, pp. 1067-1079. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_6_a9/

[1] Vasileva A. B., Butuzov V. F., Asimptoticheskie metody v teorii singulyarnykh vozmuschenii, Vyssh. shkola, M., 1990 | MR

[2] Vasileva A. B., Butuzov V. F., Asimptoticheskie razlozheniya reshenii singulyarno vozmuschennykh uravnenii, Nauka, M., 1973 | MR

[3] Vasileva A. B., Pilyugin B. C., “Singulyarno vozmuschennye kraevye zadachi s pogranichnym sloem stepennogo tipa”, Differents. ur-niya, 45:3 (2009), 314–324

[4] Nagumo M., “Über die Differentialgleichung $y''=f(x,y,y')$”, Proc. Phys. Math. Soc. Japan, 19 (1937), 861–866

[5] Vasileva A. B., Asimptoticheskaya teoriya singulyarno vozmuschennykh zadach (posobie), Izd-vo MGU, M., 2004

[6] Nefëdov H. H., “Metod differentsialnykh neravenstv dlya nekotorykh klassov nelineinykh singulyarno vozmuschennykh zadach s vnutrennimi sloyami”, Differents. ur-niya, 31:7 (1995), 1132–1139