Geodesic
Extendability of solutions of autonomous polynomial differential systems
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2020), pp. 10-21

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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. 
@article{IVM_2020_2_a1,
     author = {V. V. Amel'kin and V. Yu. Tyshchenko},
     title = {Extendability of solutions of autonomous polynomial differential systems},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {10--21},
     publisher = {mathdoc},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2020_2_a1/}
}
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V. V. Amel'kin; V. Yu. Tyshchenko. Extendability of solutions of autonomous polynomial differential systems. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2020), pp. 10-21. http://geodesic.mathdoc.fr/item/IVM_2020_2_a1/