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
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Two classes of systems of linear ordinary differential equations containing high-frequency terms proportional to certain positive powers of the oscillation frequency are considered. Complete asymptotic expansions of fundamental systems of solutions are constructed and substantiated.
@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},
publisher = {mathdoc},
volume = {49},
number = {12},
year = {2009},
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 PB - mathdoc 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 %I mathdoc %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/