Matematičeskie zametki, Tome 23 (1978) no. 1, pp. 121-126
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V. V. Zhikov. Proof of the Favard theorem on the existence of almost-periodic solution for an arbitrary Banach space. Matematičeskie zametki, Tome 23 (1978) no. 1, pp. 121-126. http://geodesic.mathdoc.fr/item/MZM_1978_23_1_a12/
@article{MZM_1978_23_1_a12,
author = {V. V. Zhikov},
title = {Proof of the {Favard} theorem on the existence of almost-periodic solution for an arbitrary {Banach} space},
journal = {Matemati\v{c}eskie zametki},
pages = {121--126},
year = {1978},
volume = {23},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1978_23_1_a12/}
}
TY - JOUR
AU - V. V. Zhikov
TI - Proof of the Favard theorem on the existence of almost-periodic solution for an arbitrary Banach space
JO - Matematičeskie zametki
PY - 1978
SP - 121
EP - 126
VL - 23
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1978_23_1_a12/
LA - ru
ID - MZM_1978_23_1_a12
ER -
%0 Journal Article
%A V. V. Zhikov
%T Proof of the Favard theorem on the existence of almost-periodic solution for an arbitrary Banach space
%J Matematičeskie zametki
%D 1978
%P 121-126
%V 23
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1978_23_1_a12/
%G ru
%F MZM_1978_23_1_a12
The well-known Favard-Amerio theorem on the existence of an almost-periodic solution of a linear equation is based on the geometry of a uniformly convex space, since the almost-periodic solution is found by the minimax condition. In the present note an essentially different method for finding the almost-periodic solution is developed, which enables us to prove the Favard-Amerio theorem for an arbitrary Banach space.
