On a universal differential equation for the analytic terms of \(C^{\infty}\)-superpositions on the real line

DOI10.1016/j.jmaa.2004.01.046zbMath1092.34002OpenAlexW2029097009WikidataQ115346371 ScholiaQ115346371MaRDI QIDQ596726

Carsten Elsner

Publication date: 10 August 2004

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.2004.01.046

zbMATH Keywords

analytic functions\(C^\infty\)-functionsuniversal differential equation

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) (C^infty)-functions, quasi-analytic functions (26E10) Approximation by other special function classes (41A30)

Cites Work

• Universal formulae and universal differential equations
• The solutions of a smooth PDE can be dense in C[I]
• On a linear transcendence measure for the solutions of a universal differential equation at algebraic points
• Uniform approximation by rational functions which all satisfy the same algebraic differential equation
• A universal differential equation of degree 6
• On the approximation of continuous functions by analytic solutions of universal functional-differential equations
• COHERENT FAMILIES OF POLYNOMIALS
• Rubel's universal differential equation
• A universal differential equation
• A universal functional equation
• On arithmetic properties of the solutions of a universal differential equation at algebraic points
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