Geodesic
On the Cauchy problem for multidimensional difference equations in~rational cone
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 8 (2015) no. 2, pp. 184-191

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The Cauchy problem for multidimensional difference equations in rational cone is formulated and sufficient condition for its solvability is given. The notion of multisection of multiple Laurent series with the support in a rational cone is defined. The formulae which express any multisection through original series are presented.
Keywords: Cauchy problem, rational cone, generating function
Mots-clés : multisection. 
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     author = {Tatiana I. Nekrasova},
     title = {On the {Cauchy} problem for multidimensional difference equations in~rational cone},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {184--191},
     publisher = {mathdoc},
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     number = {2},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2015_8_2_a7/}
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Tatiana I. Nekrasova. On the Cauchy problem for multidimensional difference equations in~rational cone. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 8 (2015) no. 2, pp. 184-191. http://geodesic.mathdoc.fr/item/JSFU_2015_8_2_a7/