Geodesic
Generalized solutions of a boundary value problem for thermal conductivity equation on a graph
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 3 (2013), pp. 39-47

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

Generalized solutions of a boundary value problem for thermal conductivity equation on an arbitrary graph are considered. Analogues of corresponding Sobolev spaces which are dense sets in the space of square-integrable functions are constructed. The theorem of unique solvability of a boundary-value problem is proved. The algorithm of determining boundary control in the problem of translating a differential system from the initial state to the desired final one is presented. Bibliogr. 4.
Keywords: boundary value problem on a graph, generalized solutions, a theorem on unique solvability, boundary control. 
@article{VSPUI_2013_3_a4,
     author = {A. S. Volkova},
     title = {Generalized solutions of a boundary value problem for thermal conductivity equation on a graph},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {39--47},
     publisher = {mathdoc},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2013_3_a4/}
}
TY  - JOUR
AU  - A. S. Volkova
TI  - Generalized solutions of a boundary value problem for thermal conductivity equation on a graph
JO  - Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ
PY  - 2013
SP  - 39
EP  - 47
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSPUI_2013_3_a4/
LA  - ru
ID  - VSPUI_2013_3_a4
ER  - 
%0 Journal Article
%A A. S. Volkova
%T Generalized solutions of a boundary value problem for thermal conductivity equation on a graph
%J Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ
%D 2013
%P 39-47
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSPUI_2013_3_a4/
%G ru
%F VSPUI_2013_3_a4
A. S. Volkova. Generalized solutions of a boundary value problem for thermal conductivity equation on a graph. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 3 (2013), pp. 39-47. http://geodesic.mathdoc.fr/item/VSPUI_2013_3_a4/