This article is cited in 3 papers

Oscillatory properties of the Green function of discontinuous boundary value problem for equations of the fourth order

R. Ch. Kulaev<sup>ab

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

Abstract: We study the sign and oscillatory properties of the Green function of discontinuous boundary value problem for a fourth-order equation describing small deformations of two rigidly connected rods with elastic support at the connection point. We obtain criterion for the oscillatory property of the Green function.

Key words: differential equation on the graph, discontinuous boundary value problem, Green's function, oscillatory properties.

UDC: 517.927.2

Received: 14.04.2014