Yu. V. Pokornyi, E. V. Gulynina, T. V. Perlovskaya, “The Hicks property for a variational problem on a graph”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, Number 10,Pages <nobr>48

The Hicks property for a variational problem on a graph

Yu. V. Pokornyi^a, E. V. Gulynina^b, T. V. Perlovskaya^a

^a Voronezh State University
^b North-Caucasian Branch of Belgorod State Technological University

Abstract: In this paper we use the Hicks property for a variational problem on a graph. For an elastic system defined on a graph we state a well-posed problem which implies the definition and the study of the kernel.

Keywords: kernel, Hicks property, variational problem on a graph.

UDC: 517.927

Received: 04.05.2005