Geodesic
On the solution of singular perturbed problems having boundary layer of spike type
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 109-122
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The singular perturbed second order equation is considered. The boundary condition causing a boundary layer of spike type is given. The asymptotic approximation for such solution is obtained and its stability is investigated. 
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A. B. Vasil'eva. On the solution of singular perturbed problems having boundary layer of spike type. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 109-122. http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a4/

[1] Vasileva A. B., Butuzov V. F., “O resheniyakh tipa kontrastnoi struktury”, Matematicheskie zametki, 42:6 (1987), 831–841 | MR

[2] Vasileva A. B., Butuzov V. F., Asimptoticheskie razlozheniya reshenii singulyarno vozmuschënnykh uravnenii, Nauka, M., 1973, 272 pp. | MR

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

[4] Fife P. C., “Singular Perturbation by a quasilinear operator”, Lecture Notes in Mathematics, 322, Springer, 1973, 87–100 | MR

[5] Vasileva A. B., “Kontrastnye struktury s dvumya perekhodnymi sloyami tipa stupenki i ikh ustoichivost”, Vychisl. matemat. i matemat. fizika, 32:10 (1992), 1582–1593 | MR

[6] Vasileva A. B., “Ob ustoichivosti kontrastnykh struktur”, Matematicheskoe modelirovanie, 3:4 (1991), 114–123 | MR

[7] Petrov A. P., “Ob ustoichivosti kontrastnykh struktur tipa “vspleska” i nekotorykh resheniyakh s pogransloyami”, Matematicheskie modeli i metody v sotsialnykh naukakh, Trudy vtorykh matematicheskikh chtenii MGSU (26 yanvarya – 2 fevralya, 1994), M., 1994, 18–19

[8] Vasileva A. B., “K voprosu ob ustoichivosti reshenii tipa kontrastnykh struktur”, Matematicheskoe modelirovanie, 2:1 (1990), 119–125 | MR