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On decomposability of countable systems of differential equations

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Abstract

Conditions under which there exists a change of variables that decomposes a countable system of differential equations are established for the entire real axis and a semiaxis. Similar problems are investigated for a countable system with pulse influence.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. M. Samoilenko (Corresponding Member, Ukrainian Academy of Sciences)

  2. Kamenets-Podol'sk Pedagogical Institute, Kamenets-Podol'sk

    Yu. V. Teplinskii

Authors
  1. A. M. Samoilenko
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  2. Yu. V. Teplinskii
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 10, pp. 1424–1432, October, 1993.

This work was supported by the Ukrainian State Committee for Science and Technology.

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Samoilenko, A.M., Teplinskii, Y.V. On decomposability of countable systems of differential equations. Ukr Math J 45, 1598–1608 (1993). https://doi.org/10.1007/BF01571093

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  • DOI: https://doi.org/10.1007/BF01571093

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