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Construction of Solutions Continuous and Bounded for t ∈ ℝ+ (t ∈ ℝ–) for the Systems of Autonomous Nonlinear Functional-Difference Equations

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For the system of nonlinear functional-difference equations, we establish sufficient conditions for the existence of solutions continuous and bounded for t ∈ ℝ+ (t ∈ ℝ–) and study their properties.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Tereshchenkivs’ka Str., 3, Kyiv, 01024, Ukraine

    H. P. Pelyukh

  2. I. Sikorsky Kyiv Polytechnic Institute, Ukrainian National Technical University, Peremoha Ave., 37, Kyiv, 03056, Ukraine

    T. O. Yeromina & O. A. Povarova

Authors
  1. H. P. Pelyukh
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  2. T. O. Yeromina
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  3. O. A. Povarova
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Corresponding author

Correspondence to O. A. Povarova.

Additional information

Translated from Neliniini Kolyvannya, Vol. 24, No. 2, pp. 216–232, April–June, 2021.

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Pelyukh, H.P., Yeromina, T.O. & Povarova, O.A. Construction of Solutions Continuous and Bounded for t ∈ ℝ+ (t ∈ ℝ–) for the Systems of Autonomous Nonlinear Functional-Difference Equations. J Math Sci 270, 315–334 (2023). https://doi.org/10.1007/s10958-023-06349-6

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  • DOI: https://doi.org/10.1007/s10958-023-06349-6

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