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Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 123, Pages 386–394
DOI: https://doi.org/10.20310/1810-0198-2018-23-123-386-394 (Mi vtamu37) 		 
Scientific articles

On stability of difference equations in partially ordered spaces

T. V. Zhukovskayaa, I. A. Zabrodskiyb, M. V. Borzovaa

a Tambov State Technical University
b Tambov State University named after G.R. Derzhavin
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DOI: https://doi.org/10.20310/1810-0198-2018-23-123-386-394
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.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00553
17-41-680975
Ministry of Education and Science of the Russian Federation 3.8563.2017/7.8
The work is partially supported by the Russian Fund for Basic Research (projects №№ 17-01-00553, 17-41-680975), by the state program of the Ministry of Education and Science of the Russian Federation № 3.8563.2017/7.8.
Received: 16.04.2018
Bibliographic databases:
Document Type: Article
UDC: 517.962.24
Language: Russian
Citation: 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, 23:123 (2018), 386–394
Citation in format AMSBIB
\Bibitem{ZhuZabBor18}
\by T.~V.~Zhukovskaya, I.~A.~Zabrodskiy, M.~V.~Borzova
\paper On stability of difference equations in partially ordered spaces
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 123
\pages 386--394
\mathnet{http://mi.mathnet.ru/vtamu37}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-123-386-394}
\elib{https://elibrary.ru/item.asp?id=36452685}
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