Existence theorem for a~parabolic mixed problem on a~graph with boundary conditions containing time derivatives
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 2, pp. 139-148
Voir la notice de l'article provenant de la source Math-Net.Ru
The initial-boundary value problem is considered for a parabolic equation on a geometric graph with boundary conditions containing a time derivative. The theorem on the existence of a solution of the boundary value problem is established, which allows one to represent solutions as contour integrals.
Keywords:
differential equation on a graph, method of contour integral.
@article{TIMM_2010_16_2_a10,
author = {R. Ch. Kulaev},
title = {Existence theorem for a~parabolic mixed problem on a~graph with boundary conditions containing time derivatives},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {139--148},
publisher = {mathdoc},
volume = {16},
number = {2},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2010_16_2_a10/}
}
TY - JOUR AU - R. Ch. Kulaev TI - Existence theorem for a~parabolic mixed problem on a~graph with boundary conditions containing time derivatives JO - Trudy Instituta matematiki i mehaniki PY - 2010 SP - 139 EP - 148 VL - 16 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2010_16_2_a10/ LA - ru ID - TIMM_2010_16_2_a10 ER -
%0 Journal Article %A R. Ch. Kulaev %T Existence theorem for a~parabolic mixed problem on a~graph with boundary conditions containing time derivatives %J Trudy Instituta matematiki i mehaniki %D 2010 %P 139-148 %V 16 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2010_16_2_a10/ %G ru %F TIMM_2010_16_2_a10
R. Ch. Kulaev. Existence theorem for a~parabolic mixed problem on a~graph with boundary conditions containing time derivatives. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 2, pp. 139-148. http://geodesic.mathdoc.fr/item/TIMM_2010_16_2_a10/