Geodesic
Correctness of a two-dimensional Cauchy problem for a polynomial difference operator with constant coefficients
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 2, pp. 199-205

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The correctness of Cauchy problem for a polynomial difference operator is studied. An easily verifiable sufficient condition for correctness of a two-dimensional Cauchy problem for an operator with constant coefficients is proved.
Keywords: polynomial difference operator, Cauchy problem, correctness. 
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     author = {Marina S. Apanovich and Evgeny K. Leinartas},
     title = {Correctness of a two-dimensional {Cauchy} problem for a polynomial difference operator with constant coefficients},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {199--205},
     publisher = {mathdoc},
     volume = {10},
     number = {2},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2017_10_2_a6/}
}
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Marina S. Apanovich; Evgeny K. Leinartas. Correctness of a two-dimensional Cauchy problem for a polynomial difference operator with constant coefficients. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 2, pp. 199-205. http://geodesic.mathdoc.fr/item/JSFU_2017_10_2_a6/