Matematičeskie zametki, Tome 4 (1968) no. 6, pp. 729-740
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I. N. Blinov. Application of an arbitrarily rapidly convergent method to the reducibility problem for linear systems with odd almost-periodic coefficients. Matematičeskie zametki, Tome 4 (1968) no. 6, pp. 729-740. http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a13/
@article{MZM_1968_4_6_a13,
author = {I. N. Blinov},
title = {Application of an~arbitrarily rapidly convergent method to the reducibility problem for linear systems with odd almost-periodic coefficients},
journal = {Matemati\v{c}eskie zametki},
pages = {729--740},
year = {1968},
volume = {4},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a13/}
}
TY - JOUR
AU - I. N. Blinov
TI - Application of an arbitrarily rapidly convergent method to the reducibility problem for linear systems with odd almost-periodic coefficients
JO - Matematičeskie zametki
PY - 1968
SP - 729
EP - 740
VL - 4
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a13/
LA - ru
ID - MZM_1968_4_6_a13
ER -
%0 Journal Article
%A I. N. Blinov
%T Application of an arbitrarily rapidly convergent method to the reducibility problem for linear systems with odd almost-periodic coefficients
%J Matematičeskie zametki
%D 1968
%P 729-740
%V 4
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a13/
%G ru
%F MZM_1968_4_6_a13
We consider a method of successive substitution generalizing the known Kolmogorov–Arnol'd method so as to be applicable in a proof of the reducibility of linear systems with odd almost-periodic coefficients. We prove that our method can be made to converge arbitrarily rapidly. The method is used to solve a problem that cannot be solved by the Kolmogorov–Arnol'd method because of the relatively slow convergence of the latter.mplex.
