Matematičeskie zametki, Tome 9 (1971) no. 4, pp. 409-414
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V. V. Zhikov. The existence of Levitan almost-periodic solutions of linear systems (second complement to Favard's classical theory). Matematičeskie zametki, Tome 9 (1971) no. 4, pp. 409-414. http://geodesic.mathdoc.fr/item/MZM_1971_9_4_a5/
@article{MZM_1971_9_4_a5,
author = {V. V. Zhikov},
title = {The existence of {Levitan} almost-periodic solutions of linear systems (second complement to {Favard's} classical theory)},
journal = {Matemati\v{c}eskie zametki},
pages = {409--414},
year = {1971},
volume = {9},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_9_4_a5/}
}
TY - JOUR
AU - V. V. Zhikov
TI - The existence of Levitan almost-periodic solutions of linear systems (second complement to Favard's classical theory)
JO - Matematičeskie zametki
PY - 1971
SP - 409
EP - 414
VL - 9
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1971_9_4_a5/
LA - ru
ID - MZM_1971_9_4_a5
ER -
%0 Journal Article
%A V. V. Zhikov
%T The existence of Levitan almost-periodic solutions of linear systems (second complement to Favard's classical theory)
%J Matematičeskie zametki
%D 1971
%P 409-414
%V 9
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1971_9_4_a5/
%G ru
%F MZM_1971_9_4_a5
The linear equation $u'=A(t)u+f(t)$ with almost periodic coefficients is investigated in euclidean space. It is proved that if it has a bounded solution, then it has a Levitan almost-periodic function as a “limit” solution.
