Geodesic
Cauchy problem for multidimensional difference equations in lattice cones
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 4, pp. 576-580 Cet article a éte moissonné depuis la source Math-Net.Ru

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We formulated condition ensuring the existence and uniqueness of solutions of the Cauchy problem for multidimensional linear differential equations with constant coefficients in the lattice cone. Based on the concept of a fundamental solution we deduced the formulae for solution of this problem.
Keywords: multidimensional difference equation, Cauchy problem. 
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Tatyana I. Nekrasova. Cauchy problem for multidimensional difference equations in lattice cones. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 4, pp. 576-580. http://geodesic.mathdoc.fr/item/JSFU_2012_5_4_a13/

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