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On existence of the solution of parabolic problem on the graph with a boundary conditions, containing derivatives on time

Kulaev R. Ch.
Vladikavkaz Mathematical Journal 2011. Vol. 13. Issue 3.
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.
Keywords: differential equation on the graph, the circuit integral method.
Language: Russian Download the full text  

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