T. V. Zhukovskaya, I. A. Zabrodskiy, M. V. Borzova, “On stability of difference equations in partially ordered spaces”, Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 123,Pages <nobr>386

Scientific articles

On stability of difference equations in partially ordered spaces

T. V. Zhukovskaya^a, I. A. Zabrodskiy^b, M. V. Borzova^a

^a Tambov State Technical University
^b Tambov State University named after G.R. Derzhavin

Abstract: We consider implicit difference equations in partially ordered spaces. We define the notion of a stable equilibrium point. The conditions of the stability is obtained. The study is based on the theory of partially ordered mappings.

Keywords: implicit difference equation, stable equilibrium point, partially ordered space, partially ordered mapping.

UDC: 517.962.24

Received: 16.04.2018

DOI: 10.20310/1810-0198-2018-23-123-386-394