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

Kulaev R. Ch.
Vladikavkaz Mathematical Journal 2013. Vol. 15. Issue 4.

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.

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

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