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Vladikavkazskii Matematicheskii Zhurnal, 2012, Volume 14, Number 4, Pages 32–40 (Mi vmj434)  
About Green's function of a parabolic problem on a graph

R. Ch. Kulaev

South Mathematical Institute of VSC RAS, Russia, Vladikavkaz
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Abstract: The work is devoted to Green's function of the mixed boundary problem for equation of parabolic type on geometrical graph. Existence, continuity and positivity of Green's function are studied.
Key words: boundary problem on a graph, Green's function, parabolic equation, geometrical graph.
Received: 06.03.2012
Document Type: Article
UDC: 517.956
Language: Russian
Citation: R. Ch. Kulaev, “About Green's function of a parabolic problem on a graph”, Vladikavkaz. Mat. Zh., 14:4 (2012), 32–40
Citation in format AMSBIB
\Bibitem{Kul12}
\by R.~Ch.~Kulaev
\paper About Green's function of a~parabolic problem on a~graph
\jour Vladikavkaz. Mat. Zh.
\yr 2012
\vol 14
\issue 4
\pages 32--40
\mathnet{http://mi.mathnet.ru/vmj434}
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