@article{ZVMMF_2009_49_12_a4,
author = {E. V. Krutenko and V. B. Levenshtam},
title = {Asymptotic analysis of certain systems of linear differential equations with a~large parameter},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {2144--2155},
year = {2009},
volume = {49},
number = {12},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_12_a4/}
}
TY - JOUR AU - E. V. Krutenko AU - V. B. Levenshtam TI - Asymptotic analysis of certain systems of linear differential equations with a large parameter JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2009 SP - 2144 EP - 2155 VL - 49 IS - 12 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_12_a4/ LA - ru ID - ZVMMF_2009_49_12_a4 ER -
%0 Journal Article %A E. V. Krutenko %A V. B. Levenshtam %T Asymptotic analysis of certain systems of linear differential equations with a large parameter %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2009 %P 2144-2155 %V 49 %N 12 %U http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_12_a4/ %G ru %F ZVMMF_2009_49_12_a4
E. V. Krutenko; V. B. Levenshtam. Asymptotic analysis of certain systems of linear differential equations with a large parameter. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 12, pp. 2144-2155. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_12_a4/
[1] Liouville J., “Second memoire sur le development des functions en series don divers termes sont assujettis, a satisfaire a une meme eqnation”, J. Math. Pure and Appl., 2 (1837), 16–35
[2] Schlesinger L., “Über asymptotische Darstellungen der Losungen linearer Differential systemabe Funktionen eines Parameter”, Math. Ann., 63 (1907), 207–300
[3] Birkhoff G. D., “Ou the asymptotic character of the solutions of certain linear differential equations containing parameter”, Trans. Amer. Math. Soc., 9 (1908), 219–231 | DOI | MR
[4] Tamarkin Ya. D., O nekotorykh obschikh zadachakh teorii obyknovennykh lineinykh differentsialnykh uravnenii, Petrograd, 1917 | Zbl
[5] Naimark M. A., Lineinye differentsialnye operatory, M., 1954
[6] Koddington E. A., Levinson N., Teoriya obyknovennykh differentsialnykh uravnenii, Izd-vo inostr. lit., M., 1958
[7] Daletskii Yu. L., “Asimptoticheskie metody dlya nekotorykh differentsialnykh uravnenii s ostsilliruyuschimi koeffitsientami”, Dokl. AN SSSR, 143:5 (1962)
[8] Daletskii Yu. L., Krein M. G., Ustoichivost reshenii differentsialnykh uravnenii v banakhovom prostranstve, Nauka, M., 1970 | MR