Abstract:
We obtain stability criteria for several classes of linear autonomous difference equations. The criteria are expressed in explisit analytic form, as well as in the form of belonging values of a vector function of the equation parameters to a domain in three-dimensional space.
The work is performed within the basic part of the state assignment of the Ministry of Education and Science of the Russian Federation (project № 1.5336.2017/8.9), and is partially supported by the Russian Fund for Basic Research (project № 18-01-00928).
Received: 12.04.2018
Bibliographic databases:
Document Type:
Article
UDC:517.929.2
Language: Russian
Citation:
A. A. Kandakov, K. M. Chudinov, “Eeffective criteria of exponential stability of autonomous difference equations”, Tambov University Reports. Series: Natural and Technical Sciences, 23:123 (2018), 402–414
\Bibitem{KanChu18}
\by A.~A.~Kandakov, K.~M.~Chudinov
\paper Eeffective criteria of exponential stability of autonomous difference equations
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 123
\pages 402--414
\mathnet{http://mi.mathnet.ru/vtamu39}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-123-402-414}
\elib{https://elibrary.ru/item.asp?id=36452687}
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https://www.mathnet.ru/eng/vtamu/v23/i123/p402
This publication is cited in the following 2 articles:
I. A. Aksenenko, K. M. Chudinov, “Ob ustoichivosti lineinykh avtonomnykh raznostnykh uravnenii s kompleksnymi koeffitsientami”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 35:1 (2025), 3–26
A. S. Balandin, “Exponential Stability of Autonomous Differential Equations of Neutral Type. II”, Russ Math., 67:4 (2023), 1
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