Addendum: Growth orders occurring in expansions of Hardy-field solutions of algebraic differential equations

DOI10.5802/aif.1453zbMath0835.34066OpenAlexW1970450213MaRDI QIDQ1906117

John R. Shackell

Publication date: 6 February 1996

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

Full work available at URL: https://eudml.org/doc/75113

zbMATH Keywords

asymptoticsdifferential equationsdifferential algebraHardy fields

Mathematics Subject Classification ID

Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Asymptotic expansions of solutions to ordinary differential equations (34E05) Differential algebra (13N99)

Cites Work

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• Growth estimates for exp-log functions
• Hardy fields
• The Rank of a Hardy Field
• Rank change on adjoining real powers to Hardy fields
• Growth Properties of Functions in Hardy Fields
• A universal differential equation
• Zero-Equivalence in Function Fields Defined by Algebraic Differential Equations
• Rosenlicht Fields
• Asymptotic behavior of solutions and adjunction fields for nonlinear first order differential equations

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