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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 2, Pages 10–21
DOI: https://doi.org/10.26907/0021-3446-2020-2-10-21 (Mi ivm9541) 		 
Extendability of solutions of autonomous polynomial 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, 22 Oszeshko str., Grodno, 230023 Republic of Belarus
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DOI: https://doi.org/10.26907/0021-3446-2020-2-10-21
Abstract: We consider real and complex autonomous polynomial differential systems, both ordinary and exact. It is proved that in case of general situation the solutions of the given systems are not infinitely continuable on all independent variables. Examples are given.
Keywords: ordinary autonomous system of the differential equations, quite solvable autonomous system of the exact equations, continuability of the solutions.
Received: 11.01.2019
Revised: 11.01.2019
Accepted: 27.03.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 2, Pages 8–18
DOI: https://doi.org/10.3103/S1066369X20020024
Bibliographic databases:
Document Type: Article
UDC: 517.925
Language: Russian
Citation: V. V. Amel'kin, V. Yu. Tyshchenko, “Extendability of solutions of autonomous polynomial differential systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 2, 10–21; Russian Math. (Iz. VUZ), 64:2 (2020), 8–18
Citation in format AMSBIB
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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