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Journal of Siberian Federal University. Mathematics & Physics, 2011, Volume 4, Issue 1, Pages 112–117 (Mi jsfu167)  
The criterion of asymptotic stability of a multidimensional differece equation with the constant coefficiens

Evgeny K. Leinartas

Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
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Abstract: It is obtained the nessessary condition of the stability of a homogeneous Cauchy problem for a multidimensional difference operator and the criterion of its asymptotic stability in terms connecting with the ameoba of an algebraic hypersurface.
Keywords: Cauchy problem, multidimensional difference operator, ameoba of algebraic hypersurface.
Received: 18.08.2010
Received in revised form: 25.09.2010
Accepted: 30.10.2010
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: Russian
Citation: Evgeny K. Leinartas, “The criterion of asymptotic stability of a multidimensional differece equation with the constant coefficiens”, J. Sib. Fed. Univ. Math. Phys., 4:1 (2011), 112–117
Citation in format AMSBIB
\Bibitem{Lei11}
\by Evgeny~K.~Leinartas
\paper The criterion of asymptotic stability of a~multidimensional differece equation with the constant coefficiens
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2011
\vol 4
\issue 1
\pages 112--117
\mathnet{http://mi.mathnet.ru/jsfu167}
\elib{https://elibrary.ru/item.asp?id=15540055}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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