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Weakly Perturbed Systems of Linear Integro-Dynamic Equations on Time Scales

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We obtain the conditions of bifurcation from the point ε = 0 for the solutions of weakly perturbed systems of linear integro-dynamic equations on a segment [a, b] of any time scale. We propose a convergent iterative procedure for finding solutions in the form of a segment of the Laurent series.

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Authors and Affiliations

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

    I. A. Bondar

  2. Kyiv National University of Technologies and Design, Nemyrovych-Danchenko Str., 2, Kyiv, 01011, Ukraine

    O. B. Nesterenko

  3. A. Makarenko Sumy State Pedagogic University, Romens’ka Str., 87, Sumy, 40002, Ukraine

    O. P. Strakh

Authors
  1. I. A. Bondar
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  2. O. B. Nesterenko
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  3. O. P. Strakh
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Correspondence to O. P. Strakh.

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Translated from Neliniini Kolyvannya, Vol. 24, No. 1, pp. 3–16, January–March, 2021.

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Bondar, I.A., Nesterenko, O.B. & Strakh, O.P. Weakly Perturbed Systems of Linear Integro-Dynamic Equations on Time Scales. J Math Sci 265, 561–576 (2022). https://doi.org/10.1007/s10958-022-06074-6

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  • DOI: https://doi.org/10.1007/s10958-022-06074-6

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