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On Periodic Solutions of the Systems of Linear Differential Equations with Deviations of the Argument

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We discuss the application of periodic successive approximations to the investigation of periodic boundary-value problems for a class of linear functional-differential equations. We describe a version involving a kind of interpolation by trigonometric polynomial. The application of the proposed technique is shown for a numerical example.

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Authors and Affiliations

  1. Brno University of Technology, Faculty of Business and Management, Kolejni, 4, 61200, Brno, Czech Republic

    A. Rontó & N. Shchobak

  2. Institute of Mathematics, University of Miskolc, Miskolc-Egyetemváros, 3515, Hungary

    M. Rontó

Authors
  1. A. Rontó
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  2. M. Rontó
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  3. N. Shchobak
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Correspondence to A. Rontó.

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Dedicated to the blessed memory of our teacher A. M. Samoilenko

Published in Neliniini Kolyvannya, Vol. 23, No. 4, pp. 513–528, October–December, 2020.

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Rontó, A., Rontó, M. & Shchobak, N. On Periodic Solutions of the Systems of Linear Differential Equations with Deviations of the Argument. J Math Sci 263, 282–298 (2022). https://doi.org/10.1007/s10958-022-05926-5

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  • DOI: https://doi.org/10.1007/s10958-022-05926-5

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