On the Existence of Isolated Integral Tori of Differential Systems
- Authors: Amel’kin V.V.1, Tyshchenko V.Y.2
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Affiliations:
- Belarusian State University
- Yanka Kupala State University of Grodno
- Issue: Vol 55, No 6 (2019)
- Pages: 745-752
- Section: Ordinary Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/155031
- DOI: https://doi.org/10.1134/S0012266119060028
- ID: 155031
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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.
About the authors
V. V. Amel’kin
Belarusian State University
Author for correspondence.
Email: amelkin@bsu.by
Belarus, Minsk, 220030
V. Yu. Tyshchenko
Yanka Kupala State University of Grodno
Author for correspondence.
Email: valentinet@mail.ru
Belarus, Grodno, 230023
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