Geodesic
On existence of the solution of parabolic problem on the graph with a~boundary conditions, containing derivatives on time
Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 3, pp. 42-52

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The mixed problem for the parabolic equation set on geometrical graph, with boundary conditions containing a derivative on time is considered. The theorem of existence of the solution of the boundary problem giving representation of the solution in the form of circuit integral is established. 
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     author = {R. Ch. Kulaev},
     title = {On existence of the solution of parabolic problem on the graph with a~boundary conditions, containing derivatives on time},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
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R. Ch. Kulaev. On existence of the solution of parabolic problem on the graph with a~boundary conditions, containing derivatives on time. Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 3, pp. 42-52. http://geodesic.mathdoc.fr/item/VMJ_2011_13_3_a4/