On the Value Group of a Differential Valuation II

DOI10.2307/2374255zbMath0474.12020OpenAlexW4252958890MaRDI QIDQ3929845

Maxwell Rosenlicht

Publication date: 1981

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374255

zbMATH Keywords

Hardy fielddifferential valuationL'Hospital's rulesolutions of algebraic differential equations

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Differential algebra (12H05) Abstract differential equations (12H20)

Related Items (15)

A tale of two Liouville closures ⋮ Book review of: M. Aschenbrenner et al., Asymptotic differential algebra and model theory of transseries ⋮ The asymptotic couple of the field of logarithmic transseries ⋮ Differential and difference algebra ⋮ Toward a model theory for transseries ⋮ Liouville closed \(H_T\)-fields ⋮ Hardy type derivations on generalised series fields ⋮ Closed asymptotic couples ⋮ Surreal numbers with derivation, Hardy fields and transseries: a survey ⋮ A structure theorem for abelian quasi-ordered groups ⋮ NIP FOR THE ASYMPTOTIC COUPLE OF THE FIELD OF LOGARITHMIC TRANSSERIES ⋮ A differential Puiseux theorem in generalized series fields of finite rank ⋮ Liouville closed \(H\)-fields ⋮ Distality for the asymptotic couple of the field of logarithmic transseries ⋮ Formal solutions of differential equations

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