Existence theorems connected with the Picard-Vessiot theory of homogeneous linear ordinary differential equations

DOI10.1090/S0002-9904-1948-09099-1zbMath0037.06601MaRDI QIDQ5795266

E. R. Kolchin

Publication date: 1948

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Ordinary differential equations

Related Items (10)

Liouvillian solutions of second order differential equation without Fuchsian singularities ⋮ Differential algebraic function fields depending rationally on arbitrary constants ⋮ Picard-Vessiot theory for real fields ⋮ Ordered differential fields ⋮ Über lineare \(s\)-Differentialgleichungen in der Operatorenrechnung ⋮ Picard-Vessiot Theory of Linear Homogeneous Difference Equations ⋮ An Existence Theorem in the Algebraic Study of Homogeneous Linear Ordinary Differential Equations ⋮ Algebraischer Beweis eines Satzes von Ritt aus der Theorie der algebraischen Differentialgleichungen ⋮ Rings over which every module has a maximal submodule ⋮ Specialization and Picard-Vessiot Theory

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