A differential Puiseux theorem in generalized series fields of finite rank

DOI10.5802/afst.1293zbMath1222.34012arXiv0902.1758OpenAlexW2963701188MaRDI QIDQ555252

Mickaël Matusinski

Publication date: 22 July 2011

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.1758

zbMATH Keywords

finite rankgeneralized series fieldsdifferential Puiseux theorem

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Related Items (1)

Hardy type derivations on generalised series fields

Cites Work

• Differential valuations
• Ordered exponential fields
• Transseries and real differential algebra
• Generalised power series solutions of sub-analytic differential equations
• The Rank of a Hardy Field
• On the Value Group of a Differential Valuation II
• Solving Ordinary Differential Equations in Terms of Series with Real Exponents
• ON THE SERIES DEFINED BY DIFFERENTIAL EQUATIONS, WITH AN EXTENSION OF THE PUISEUX POLYGON CONSTRUCTION TO THESE EQUATIONS
• Non-oscillating integral curves and valuations
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