Normal forms of functional-differential equations of Beardon type and Briot-Bouquet type equations in the complex domain

DOI10.1007/s00010-015-0394-7zbMath1335.34109OpenAlexW2226459429MaRDI QIDQ264183

Jörg Tomaschek, Ludwig Reich

Publication date: 6 April 2016

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-015-0394-7

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25)

Cites Work

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• On a functional-differential equation of A. F. Beardon and functional-differential equations of Briot-Bouquet type
• Entire solutions of \(f(kz)=kf(z)f^\prime(z)\)
• A remark on Schröder's equation: formal and analytic linearization of iterative roots of the power series \(f(z)=z\)
• Lectures on the singularities of the three-body problem. Notes by K. Balagangadharan and M. K. Venkatesha Murthy

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