We prove the necessity of known sufficient conditions for the existence of a unique solution bounded or summable with degree p for a linear difference equation with piecewise-constant operator coefficients.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 7, pp. 930–938, July, 2022. Ukrainian DOI: https://doi.org/10.37863/umzh.v74i7.7087.
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Horodnii, M.F. Bounded and Summable Solutions of a Difference Equation with Piecewise-Constant Operator Coefficients. Ukr Math J 74, 1063–1072 (2022). https://doi.org/10.1007/s11253-022-02120-3
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DOI: https://doi.org/10.1007/s11253-022-02120-3