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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 11, Pages 15–28
DOI: https://doi.org/10.26907/0021-3446-2020-11-15-28 (Mi ivm9623) 		 
On the continuability of solutions of autonomous differential systems

V. V. Amel'kina, V. Yu. Tyshchenkob

a Belorussian State University, 4 Nezavisimosti Ave., Minsk, 220030 Republic of Belarus
b Grodno State University, 4 Oszeshko str., Grodno, 230023 Republic of Belarus
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DOI: https://doi.org/10.26907/0021-3446-2020-11-15-28
Abstract: Problems about a continuability of solutions of real autonomous systems of equations in total differentials and about a reducibility of such systems to many-dimensional dynamical systems are investigated. The reducibility criterion is proved. Conditions at which realisation the reducible system of exact differential equations has orbits–torus-cylinders, are received. Examples are given. When the received outcomes can be transferred on a complex case is noted.
Keywords: autonomous system, quite solvable system of the exact equations, continuability of the solutions, many-dimensional dynamical system, orbit.
Received: 19.12.2019
Revised: 19.12.2019
Accepted: 25.03.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 11, Pages 11–22
DOI: https://doi.org/10.3103/S1066369X2011002X
Bibliographic databases:
Document Type: Article
UDC: 517.925
Language: Russian
Citation: V. V. Amel'kin, V. Yu. Tyshchenko, “On the continuability of solutions of autonomous differential systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 11, 15–28; Russian Math. (Iz. VUZ), 64:11 (2020), 11–22
Citation in format AMSBIB
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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