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Preprints of the Keldysh Institute of Applied Mathematics, 2014, 067, 14 pp. (Mi ipmp1919)  
On convergence of generalized power series that is a formal solution of algebraic ODE in the general case

I. V. Goryuchkina
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Abstract: In this preprint we study some properties of generalized power series that are formal solutions of algebraic ordinary differential equations. Particularly we study the structure of the set of the power exponents of these series and propose a proof of theorem on sufficient condition of their convergence.
Document Type: Preprint
UDC: 517.91
Language: Russian
Citation: I. V. Goryuchkina, “On convergence of generalized power series that is a formal solution of algebraic ODE in the general case”, Keldysh Institute preprints, 2014, 067, 14 pp.
Citation in format AMSBIB
\Bibitem{Gor14}
\by I.~V.~Goryuchkina
\paper On convergence of generalized power series that is a formal solution of~algebraic ODE in the general case
\jour Keldysh Institute preprints
\yr 2014
\papernumber 067
\totalpages 14
\mathnet{http://mi.mathnet.ru/ipmp1919}
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