A universal differential equation of degree 6

DOI10.1006/JMAA.2000.6730zbMath0963.34003OpenAlexW2074311814WikidataQ115395374 ScholiaQ115395374MaRDI QIDQ1978814

Carsten Elsner

Publication date: 14 December 2000

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6730

zbMATH Keywords

algebraic differential equation\(\mathbb{C}^\infty\)-solutions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Related Items (5)

On a linear transcendence measure for the solutions of a universal differential equation at algebraic points ⋮ On a universal differential equation for the analytic terms of \(C^{\infty}\)-superpositions on the real line ⋮ The taming of the shrew: On the perspectives of universal differential equations ⋮ On a method to transform algebraic differential equations into universal equations ⋮ On arithmetic properties of the solutions of a universal differential equation at algebraic points

Cites Work

• Universal formulae and universal differential equations
• A universal differential equation
• On the Approximation of Continuous Functions by C^∞‐Solutions of Third‐Order Algebraic Differential Equations
• A universal functional equation

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