Abstract
We consider real and complex autonomous polynomial differential systems, both ordinary and completely solvable ones. We prove that in the case of the general position, solutions to these systems are not infinitely extendable in all independent variables. In addition, we give the proper examples.
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Russian Text © The Author(s), 2020, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, No. 2, pp. 10–21.
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Amel’kin, V.V., Tyshchenko, V.Y. Extendability Of Solutions To Autonomous Polynomial Differential SystemsExtendability Of Solutions To Autonomous Polynomial Differential Systems. Russ Math. 64, 8–18 (2020). https://doi.org/10.3103/S1066369X20020024
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DOI: https://doi.org/10.3103/S1066369X20020024