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Scientific articles

On stability of difference equations in partially ordered spaces

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

a</sup> 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

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