We establish the existence conditions for continuous solutions of a class of systems of linear functional-difference equations with numerous deviations of the argument, propose a method for the construction of these solutions, and study the structure of the set of solutions of this kind.
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Translated from Neliniini Kolyvannya, Vol. 25, No. 2-3, pp. 191–197, April–September, 2022.
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Yeromina, T.O., Povarova, O.A. On Continuous and Bounded Solutions of the Systems of Difference-Functional Equations with Numerous Deviations of the Argument. J Math Sci 274, 841–849 (2023). https://doi.org/10.1007/s10958-023-06647-z
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DOI: https://doi.org/10.1007/s10958-023-06647-z