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Application of the Green–Samoilenko Function and Operator to the Investigation of Non-Lipschitz Differential Equations

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Ukrainian Mathematical Journal Aims and scope

For systems of non-Lipschitz differential equations, we establish conditions for the existence of invariant sets. To obtain this result, we apply the Green–Samoilenko function and the corresponding operator.

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Authors and Affiliations

  1. T. Shevchenko Kyiv National University, Kyiv, Ukraine

    M. O. Perestyuk

  2. National University of Water Management and Utilization of Natural Resources, Rivne, Ukraine

    V. Yu. Slyusarchuk

Authors
  1. M. O. Perestyuk
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  2. V. Yu. Slyusarchuk
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Correspondence to V. Yu. Slyusarchuk.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 12, pp. 1673–1690, December, 2021. Ukrainian DOI: https://doi.org/10.37863/umzh.v73i12.6482.

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Perestyuk, M.O., Slyusarchuk, V.Y. Application of the Green–Samoilenko Function and Operator to the Investigation of Non-Lipschitz Differential Equations. Ukr Math J 73, 1937–1957 (2022). https://doi.org/10.1007/s11253-022-02039-9

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  • DOI: https://doi.org/10.1007/s11253-022-02039-9

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