Geodesic
On a multidimensional version of the principal theorem of difference equations with constant coefficients
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 1, pp. 125-132

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In the paper we consider systems of linear difference equations with discrete characteristic sets. A multidimensional version of the principal theorem of linear difference equations with constant coefficients is formulated and proved.
Keywords: linear difference equations, characteristic set, multiple roots. 
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Evgeny D. Leinartas; August K. Tsikh. On a multidimensional version of the principal theorem of difference equations with constant coefficients. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 1, pp. 125-132. http://geodesic.mathdoc.fr/item/JSFU_2022_15_1_a13/