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Nonlinear Autonomous Difference Operators in the Space of Bounded Sequences that are C1-Diffeomorphisms

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We establish necessary and sufficient conditions for the invertibility of differentiable nonlinear autonomous difference operators in the space of bounded two-sided sequences.

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Authors and Affiliations

  1. National University of Water Management and Utilization of Nature 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. 3, pp. 389–400, July–September, 2020.

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Slyusarchuk, V.Y. Nonlinear Autonomous Difference Operators in the Space of Bounded Sequences that are C1-Diffeomorphisms. J Math Sci 261, 305–318 (2022). https://doi.org/10.1007/s10958-022-05752-9

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  • DOI: https://doi.org/10.1007/s10958-022-05752-9

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