We obtain a representation of the solution to the Cauchy problem with a polynomial difference operator. We establish the solvability condition and specify it in the twodimensional case. Bibliography: 9 titles.
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Translated from Vestnik Novosibirskogo Gosudarstvennogo Universiteta: Seriya Matematika, Mekhanika, Informatika 14, No. 3, 2014, pp. 83–94.
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Rogozina, M.S. Solvability of the Cauchy Problem with a Polynomial Difference Operator. J Math Sci 213, 887–896 (2016). https://doi.org/10.1007/s10958-016-2749-6
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DOI: https://doi.org/10.1007/s10958-016-2749-6