@article{TIMM_2007_13_2_a11,
author = {O. O. Kovrizhnykh},
title = {On an asymptotic solution of a~singularly perturbed system with two small parameters},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {124--134},
year = {2007},
volume = {13},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2007_13_2_a11/}
}
TY - JOUR AU - O. O. Kovrizhnykh TI - On an asymptotic solution of a singularly perturbed system with two small parameters JO - Trudy Instituta matematiki i mehaniki PY - 2007 SP - 124 EP - 134 VL - 13 IS - 2 UR - http://geodesic.mathdoc.fr/item/TIMM_2007_13_2_a11/ LA - ru ID - TIMM_2007_13_2_a11 ER -
O. O. Kovrizhnykh. On an asymptotic solution of a singularly perturbed system with two small parameters. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 13 (2007) no. 2, pp. 124-134. http://geodesic.mathdoc.fr/item/TIMM_2007_13_2_a11/
[1] Tikhonov A. N., “Sistemy differentsialnykh uravnenii, soderzhaschie malye parametry pri proizvodnykh”, Mat. sb., 31(73):3 (1952), 575–586 | Zbl
[2] Vasileva A. B., “Asimptoticheskie formuly dlya reshenii sistem obyknovennykh differentsialnykh uravnenii, soderzhaschikh pri proizvodnykh parametry razlichnykh poryadkov malosti”, Dokl. AN SSSR, 128:6 (1959), 1110–1113 | MR
[3] Vasileva A. B., “Asimptoticheskie metody v teorii obyknovennykh differentsialnykh uravnenii s malymi parametrami pri starshikh proizvodnykh”, Zhurn. vychisl. matematiki i mat. fiziki, 3:4 (1963), 611–642 | MR
[4] Ilin A. M., Kovrizhnykh O. O., “Asimptotika resheniya sistemy lineinykh uravnenii s dvumya malymi parametrami”, Dokl. RAN, 396:1 (2004), 23–24 | MR
[5] Kovrizhnykh O. O., “Asimptoticheskoe razlozhenie resheniya singulyarno vozmuschennoi sistemy lineinykh uravnenii”, Differents. uravneniya, 41:10 (2005), 1322–1331 | MR | Zbl
[6] Vasileva A. B., Butuzov V. F., Asimptoticheskie razlozheniya reshenii singulyarno vozmuschennykh uravnenii, Nauka, M., 1973 | MR