Application of the Green–Samoilenko function and operator to the study of non-Lipschitz differential equations

  • M. O. Perestyuk Taras Shevchenko National University of Kyiv
  • V. Yu. Slyusarchuk The National University of Water and Environmental Engineering
Keywords: The Green-Samoilenko function and operator

Abstract

UDC 517.925.53


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

Author Biography

M. O. Perestyuk , Taras Shevchenko National University of Kyiv



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Published
17.12.2021
How to Cite
Perestyuk , M. O., and V. Y. Slyusarchuk. “Application of the Green–Samoilenko Function and Operator to the Study of Non-Lipschitz Differential Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, no. 12, Dec. 2021, pp. 1673 -90, doi:10.37863/umzh.v73i12.6482.
Section
Research articles