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.

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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