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Modelirovanie i Analiz Informatsionnykh Sistem, 2017, Volume 24, Number 5, Pages 537–549
DOI: https://doi.org/10.18255/1818-1015-2017-5-537-549 (Mi mais582) 		 
Stability of the solutions of the simplest space-distributed discrete equations

S. A. Kashchenkoab

a P.G. Demidov Yaroslavl State University, 14 Sovetskaya str., Yaroslavl 150003, Russia
b National Research Nuclear University MEPhI, 31 Kashirskoye shosse, Moscow 115409, Russia
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DOI: https://doi.org/10.18255/1818-1015-2017-5-537-549
Abstract: The stability of the solutions of the linear equations arising in the theory of two-dimensional digital filtration is studied. The different statements of the initial value problem are analysed. As the basic results, the corresponding stability criterion is obtained for each of them.
Keywords: discrete equations, stability, boundary value problems, spectral set.
Received: 15.05.2017
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. A. Kashchenko, “Stability of the solutions of the simplest space-distributed discrete equations”, Model. Anal. Inform. Sist., 24:5 (2017), 537–549
Citation in format AMSBIB
\Bibitem{Kas17}
\by S.~A.~Kashchenko
\paper Stability of the solutions of the simplest space-distributed discrete equations
\jour Model. Anal. Inform. Sist.
\yr 2017
\vol 24
\issue 5
\pages 537--549
\mathnet{http://mi.mathnet.ru/mais582}
\crossref{https://doi.org/10.18255/1818-1015-2017-5-537-549}
\elib{https://elibrary.ru/item.asp?id=30353166}
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    		Моделирование и анализ информационных систем
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