Algebraic independence of solutions of differential equations of the second order

DOI10.2140/PJM.1989.140.1zbMath0699.12037OpenAlexW2071339872MaRDI QIDQ912922

Michel Brestovski

Publication date: 1989

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1989.140.1

zbMATH Keywords

prime idealsdifferential field extensionalgebraic independence of solutionsexistence of first integralgeneric solutions

Mathematics Subject Classification ID

Differential algebra (12H05) Abstract differential equations (12H20) General theory for ordinary differential equations (34A99)

Related Items (1)

Generic differential equations are strongly minimal

This page was built for publication: Algebraic independence of solutions of differential equations of the second order