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Necessary and Sufficient Conditions for the Invertibility of Piecewise-Autonomous Difference Operators in the Space of Bounded Two-Sided Sequences

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We establish necessary and sufficient conditions for the invertibility of linear difference operators with piecewise constant coefficients in the space of bounded two-sided sequences.

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Authors and Affiliations

  1. National University of Water Management and Utilization of Natural Resources, Soborna Str., 11, Rivne, 33000, Ukraine

    V. Yu Slyusarchuk

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  1. V. Yu Slyusarchuk
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Correspondence to V. Yu Slyusarchuk.

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Translated from Neliniini Kolyvannya, Vol. 23, No. 1, pp. 90–111, January–March, 2020.

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Slyusarchuk, V.Y. Necessary and Sufficient Conditions for the Invertibility of Piecewise-Autonomous Difference Operators in the Space of Bounded Two-Sided Sequences. J Math Sci 256, 663–688 (2021). https://doi.org/10.1007/s10958-021-05452-w

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  • DOI: https://doi.org/10.1007/s10958-021-05452-w

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