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

The sole copyright holder of the published work is the Founder of the Vladikavkaz Mathematical Journal. The terms of use of this work are governed by an open license (Creative Commons Attribution-NonCommercial 4.0 International). The use of metadata of the scientific article, including the title, abstract, author information, references, identifiers, and other bibliographic description elements for subsequent unrestricted use, is carried out under the terms of the CC BY or CC0 open licenses.