R. Ch. Kulaev, “On the sing of the Green's function of the boundary value problem for the fourth-order equation on a graph”, Vladikavkaz. Mat. Zh., 15:4 (2013), 19

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Vladikavkazskii Matematicheskii Zhurnal, 2013, Volume 15, Number 4, Pages 19–29 (Mi vmj481)

This article is cited in 2 scientific papers (total in 2 papers)

On the sing of the Green's function of the boundary value problem for the fourth-order equation on a graph

R. Ch. Kulaev^ab

^a North-Ossetia State University, Vladikavkaz, Russia
^b South Mathematical Institute of VSC RAS, Vladikavkaz, Russia

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Abstract: In this paper we consider a boundary value problem for a fourth-order equation on a graph modeling the elastic deformation of the flat system of beams with the rigid connection conditions at the nodes. Some properties of the Green's function are investigated and a sufficient condition for its positivity is established.

Key words: differential equation on the graph, boundary value problem for a fourth-order equation on a graph, Green's function.

Received: 28.05.2012

Document Type: Article

UDC: 517.956

Language: Russian

Citation: R. Ch. Kulaev, “On the sing of the Green's function of the boundary value problem for the fourth-order equation on a graph”, Vladikavkaz. Mat. Zh., 15:4 (2013), 19–29

Citation in format AMSBIB

\Bibitem{Kul13}

\by R.~Ch.~Kulaev

\paper On the sing of the Green's function of the boundary value problem for the fourth-order equation on a~graph

\jour Vladikavkaz. Mat. Zh.

\yr 2013

\vol 15

\issue 4

\pages 19--29

\mathnet{http://mi.mathnet.ru/vmj481}

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https://www.mathnet.ru/eng/vmj/v15/i4/p19

This publication is cited in the following 2 articles:

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