We establish conditions of solvability for the problem inverse to the Cauchy problem for a difference equation. In the case where the problem inverse to the Cauchy problem for the difference equation is not solvable, we propose conditions for the solvability of the problem inverse to the Cauchy problem for a difference-algebraic equation.
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Translated from Neliniini Kolyvannya, Vol. 24, No. 3, pp. 409–421, July–September, 2021.
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Chuiko, S.M., Nesmelova, O.V. & Kalinichenko, Y.V. Conditions of Solvability of the Problem Inverse to the Cauchy Problem for a Difference-Algebraic Equation. J Math Sci 272, 316–329 (2023). https://doi.org/10.1007/s10958-023-06419-9
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DOI: https://doi.org/10.1007/s10958-023-06419-9