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On the Existence of Isolated Integral Tori of Differential Systems

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Abstract

We consider completely solvable autonomous systems of total differential equations, complete linear homogeneous systems of partial differential equations, and completely integrable Pfaff systems and obtain criteria for the existence of isolated integral tori for these classes of differential systems.

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Authors and Affiliations

  1. Belarusian State University, Minsk, 220030, Republic of Belarus

    V. V. Amel’kin

  2. Yanka Kupala State University of Grodno, Grodno, 230023, Republic of Belarus

    V. Yu. Tyshchenko

Authors
  1. V. V. Amel’kin
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  2. V. Yu. Tyshchenko
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Corresponding authors

Correspondence to V. V. Amel’kin or V. Yu. Tyshchenko.

Additional information

Russian Text © The Author(s), 2019, published in Differentsial’nye Uravneniya, 2019, Vol. 55, No. 6, pp. 761–768.

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Amel’kin, V.V., Tyshchenko, V.Y. On the Existence of Isolated Integral Tori of Differential Systems. Diff Equat 55, 745–752 (2019). https://doi.org/10.1134/S0012266119060028

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  • DOI: https://doi.org/10.1134/S0012266119060028

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