Convergence of formal Dulac series satisfying an algebraic ordinary differential equation

DOI10.1070/SM9064zbMath1435.34091OpenAlexW2946465319WikidataQ115316428 ScholiaQ115316428MaRDI QIDQ5243157

Renat Gontsov, Irina Goryuchkina

Publication date: 15 November 2019

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm9064

zbMATH Keywords

convergenceformal solutionalgebraic ODEDulac series

Mathematics Subject Classification ID

Ordinary differential equations on complex manifolds (34M45) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25)

Related Items (3)

On the solutions of ordinary differential equations in the form of Dulac series ⋮ On convergent series expansions for solutions of nonlinear ordinary differential equations ⋮ On the convergence of formal exotic series solutions of an ODE

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• Asymptotic behaviour and expansions of solutions of an ordinary differential equation

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