We prove that the problem of existence of holomorphic first integrals of analytic differential equations in a neighbourhood of a singular point is not algebraically solvable
Algebraic nonsolvability of the problem of existence of holomorphic first integrals / Villarini, Massimo. - In: JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS. - ISSN 1079-2724. - STAMPA. - 1:(1995), pp. 403-425.
Algebraic nonsolvability of the problem of existence of holomorphic first integrals
VILLARINI, Massimo
1995
Abstract
We prove that the problem of existence of holomorphic first integrals of analytic differential equations in a neighbourhood of a singular point is not algebraically solvable
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