We obtain necessary and sufficient conditions for the existence and uniqueness of a bounded (on ℤ) solution of a numerical linear difference equation in the case where the jump of coefficients changes the order of the difference equation.
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Translated from Neliniini Kolyvannya, Vol. 24, No. 1, pp. 56–61, January–March, 2021.
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Horodnii, M.F. Bounded (On ℤ) Solutions of One Difference Equation. J Math Sci 265, 622–628 (2022). https://doi.org/10.1007/s10958-022-06075-5
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DOI: https://doi.org/10.1007/s10958-022-06075-5