Geodesic
Asymptotic properties of a solution of a boundary-value problem
Matematičeskie zametki, Tome 8 (1970) no. 3, pp. 273-284.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@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},
     publisher = {mathdoc},
     volume = {8},
     number = {3},
     year = {1970},
     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
PB  - mathdoc
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
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1970_8_3_a0/
%G ru
%F MZM_1970_8_3_a0
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/