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A Note on Fractional Difference Equations with Periodic and S-Asymptotically Periodic Right-Hand Sides

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We determine a decomposition of the solution of a fractional difference initial-value problem with periodic right-hand side. For problems with S-asymptotically N-periodic right-hand side, a sufficient condition is proved for the existence of an S-asymptotically N-periodic solution.

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Authors and Affiliations

  1. Comenius University, Mlynská dolina, 84248, Bratislava, Slovakia

    M. Pospíšil

  2. Slovakia and Mathematical Institute, Slovak Academy of Sciences, Štefánikova St., 49, 81473, Bratislava, Slovakia

    M. Pospíšil

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  1. M. Pospíšil
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Correspondence to M. Pospíšil.

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Dedicated to the 60th birthday of Prof. Michal Fečkan

Published in Neliniini Kolyvannya, Vol. 24, No. 1, pp. 99–109, January–March, 2021.

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Pospíšil, M. A Note on Fractional Difference Equations with Periodic and S-Asymptotically Periodic Right-Hand Sides. J Math Sci 265, 669–681 (2022). https://doi.org/10.1007/s10958-022-06079-1

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  • DOI: https://doi.org/10.1007/s10958-022-06079-1

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