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

DOI10.5802/AIF.1453zbMath0816.34040OpenAlexW1970450213MaRDI QIDQ1842213

John R. Shackell

Publication date: 18 April 1995

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1995__45_1_183_0

zbMATH Keywords

algebraic differential equationsasymptotic series expansionasymptotic growth of Hardy-field solutions

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)

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Non-oscillating solutions of a differential equation and Hardy fields

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