The Maillet-Malgrange type theorem for generalized power series

DOI10.1007/s00229-017-0957-0zbMath1395.34088arXiv1601.05778OpenAlexW2963804679MaRDI QIDQ1744814

Renat Gontsov, Irina Goryuchkina

Publication date: 19 April 2018

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.05778

zbMATH Keywords

generalized power seriesGevrey orderMaillet-Malgrange type theorem

Mathematics Subject Classification ID

Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30)

Related Items (5)

On the convergence of generalized power series solutions of \(q\)-difference equations ⋮ Convergence of formal solutions to the second member of the fourth Painlevé hierarchy in a neighborhood of zero ⋮ Formal Gevrey solutions: in analytic germs -- for higher order holomorphic PDEs ⋮ On the convergence of formal exotic series solutions of an ODE ⋮ Maillet type theorem for nonlinear totally characteristic partial differential equations

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