Matematičeskie zametki, Tome 16 (1974) no. 1, pp. 75-82
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B. V. Aleshin. Averaging in systems containing several small parameters. Matematičeskie zametki, Tome 16 (1974) no. 1, pp. 75-82. http://geodesic.mathdoc.fr/item/MZM_1974_16_1_a8/
@article{MZM_1974_16_1_a8,
author = {B. V. Aleshin},
title = {Averaging in systems containing several small parameters},
journal = {Matemati\v{c}eskie zametki},
pages = {75--82},
year = {1974},
volume = {16},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_1_a8/}
}
TY - JOUR
AU - B. V. Aleshin
TI - Averaging in systems containing several small parameters
JO - Matematičeskie zametki
PY - 1974
SP - 75
EP - 82
VL - 16
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1974_16_1_a8/
LA - ru
ID - MZM_1974_16_1_a8
ER -
%0 Journal Article
%A B. V. Aleshin
%T Averaging in systems containing several small parameters
%J Matematičeskie zametki
%D 1974
%P 75-82
%V 16
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1974_16_1_a8/
%G ru
%F MZM_1974_16_1_a8
In this note we consider a system of differential equations containing several small parameters with various orders of smallness. We propose a method of obtaining a “diagonally” averaged system, based on successive application of an averaging process along the trajectories of so-called degenerate systems.