Video library: I. V. Goryuchkina, On the convergence of various formal series solutions of algebraic ODEs

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Dynamics in Siberia - 2019 February 25, 2019 16:20, Novosibirsk, Sobolev Institute of Mathematics of Russian Academy of Sciences, Conference Hall

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On the convergence of various formal series solutions of algebraic ODEs I. V. Goryuchkina
Abstract: We extend studies of the convergence of formal power series solutions of algebraic ODEs investigating in that context formal solutions of a more general form: generalized power series, Dulac series and exotic series solutions. Sufficient conditions of convergence are proposed for such series. Language: English