Matematičeskie zametki, Tome 8 (1970) no. 3, pp. 273-284
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A. M. Il'in. Asymptotic properties of a solution of a boundary-value problem. Matematičeskie zametki, Tome 8 (1970) no. 3, pp. 273-284. http://geodesic.mathdoc.fr/item/MZM_1970_8_3_a0/
@article{MZM_1970_8_3_a0,
author = {A. M. Il'in},
title = {Asymptotic properties of a solution of a boundary-value problem},
journal = {Matemati\v{c}eskie zametki},
pages = {273--284},
year = {1970},
volume = {8},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_3_a0/}
}
TY - JOUR
AU - A. M. Il'in
TI - Asymptotic properties of a solution of a boundary-value problem
JO - Matematičeskie zametki
PY - 1970
SP - 273
EP - 284
VL - 8
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1970_8_3_a0/
LA - ru
ID - MZM_1970_8_3_a0
ER -
%0 Journal Article
%A A. M. Il'in
%T Asymptotic properties of a solution of a boundary-value problem
%J Matematičeskie zametki
%D 1970
%P 273-284
%V 8
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1970_8_3_a0/
%G ru
%F MZM_1970_8_3_a0
The asymptotic behavior of the solution of a boundary-value problem for the equation $u_{txx}+u_x=f$ when the time tends to infinity is investigated. It is proved that the time mean of the solution tends to a stationary solution everywhere except in a boundary region at the left end of the interval.
