This article is cited 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<sup>ab

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

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.

UDC: 517.956

Received: 28.05.2012