Matematičeskie zametki, Tome 8 (1970) no. 2, pp. 181-185
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Ya. S. Bugrov. The existence of a solution of a linear integral equation. Matematičeskie zametki, Tome 8 (1970) no. 2, pp. 181-185. http://geodesic.mathdoc.fr/item/MZM_1970_8_2_a5/
@article{MZM_1970_8_2_a5,
author = {Ya. S. Bugrov},
title = {The existence of a solution of a linear integral equation},
journal = {Matemati\v{c}eskie zametki},
pages = {181--185},
year = {1970},
volume = {8},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_2_a5/}
}
TY - JOUR
AU - Ya. S. Bugrov
TI - The existence of a solution of a linear integral equation
JO - Matematičeskie zametki
PY - 1970
SP - 181
EP - 185
VL - 8
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1970_8_2_a5/
LA - ru
ID - MZM_1970_8_2_a5
ER -
%0 Journal Article
%A Ya. S. Bugrov
%T The existence of a solution of a linear integral equation
%J Matematičeskie zametki
%D 1970
%P 181-185
%V 8
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1970_8_2_a5/
%G ru
%F MZM_1970_8_2_a5
A theorem is proved concerning the existence of a solution of a linear integral equation in generalized Lebesgue space $L_p(\Delta_n)$, $p=(p_1,\dots,p_n)$, where $\Delta_n$ is an $n$-dimensional parallelepiped.