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

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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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     author = {Tatyana I. Nekrasova},
     title = {Cauchy problem for multidimensional difference equations in lattice cones},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {576--580},
     publisher = {mathdoc},
     volume = {5},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2012_5_4_a13/}
}
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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/