Geodesic
The criterion of asymptotic stability of a~multidimensional differece equation with the constant coefficiens
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 1, pp. 112-117

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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
Mots-clés : ameoba of algebraic hypersurface. 
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     title = {The criterion of asymptotic stability of a~multidimensional differece equation with the constant coefficiens},
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Evgeny K. Leinartas. The criterion of asymptotic stability of a~multidimensional differece equation with the constant coefficiens. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 1, pp. 112-117. http://geodesic.mathdoc.fr/item/JSFU_2011_4_1_a11/