Universal formulae and universal differential equations

DOI10.2307/1971279zbMath0622.34012OpenAlexW2034639332MaRDI QIDQ1090822

Michael D. Boshernitzan

Publication date: 1986

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1971279

zbMATH Keywords

polynomial solutionsalgebraic differential equation

Mathematics Subject Classification ID

General theory for ordinary differential equations (34A99)

Related Items (10)

On a universal differential equation for the analytic terms of \(C^{\infty}\)-superpositions on the real line ⋮ On the Approximation of Continuous Functions by C^∞‐Solutions of Third‐Order Algebraic Differential Equations ⋮ Construction of a universal ordinary differential equation \(C^{\infty}\) of order 3 ⋮ The taming of the shrew: On the perspectives of universal differential equations ⋮ A universal differential equation of degree 6 ⋮ 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 ⋮ A Universal Ordinary Differential Equation ⋮ Programming with ordinary differential equations: some first steps towards a programming language ⋮ Differential equations over polynomially bounded o-minimal structures

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