An extension of the Newton-Puiseux polygon construction to give solutions of Pfaffian forms

DOI10.5802/aif.1324zbMath0766.34006OpenAlexW2017112157MaRDI QIDQ1210520

José Maria Cano

Publication date: 13 June 1993

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1993__43_1_125_0

zbMATH Keywords

Newton polygonholomorphicPfaffian formconvergent integral curveGevrey formGevrey type solution

Mathematics Subject Classification ID

Pfaffian systems (58A17) Ordinary differential equations in the complex domain (34M99) Asymptotic expansions of solutions to ordinary differential equations (34E05)

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Cites Work

• Invariant varieties through singularities of holomorphic vector fields
• Théorèmes d’indices Gevrey pour les équations différentielles ordinaires
• Desingularizations of Plane Vector Fields
• Holonomie et intégrales premières
• ON THE SERIES DEFINED BY DIFFERENTIAL EQUATIONS, WITH AN EXTENSION OF THE PUISEUX POLYGON CONSTRUCTION TO THESE EQUATIONS
• Reduction of Singularities of the Differential Equation Ady = Bdx
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