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.

Abstract:
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.

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