Local invertible analytic solutions for an iterative differential equation related to a discrete derivatives sequence

DOI10.1016/J.JMAA.2007.01.033zbMath1125.34043OpenAlexW2013049318WikidataQ115346247 ScholiaQ115346247MaRDI QIDQ2642126

Jian-guo Si, Hou Yu Zhao

Publication date: 20 August 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.01.033

zbMATH Keywords

analytic solutionresonanceBrjuno conditionDiophantine conditioniterative differential equationdiscrete derivatives sequence

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05)

Cites Work

• Unnamed Item
• Golomb's self-described sequence and functional differential equations
• The Brjuno functions and their regularity properties
• Analytic solutions of a class of iterative functional differential equations.
• On a functional-differential equation related to Golomb's self-described sequence
• On Golomb's self describing sequence. II
• The Functional Differential Equation Df = 1/ff
• Linearization of analytic and non-analytic germs of diffeomorphisms of $({\mathbb C},0)$
• The critical function for the semistandard map
• Discrete derivatives of sequences

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