On solvability and unsolvability of equations in explicit form

DOI10.1070/RM2004V059N04ABEH000759zbMath1069.34133OpenAlexW2006440299MaRDI QIDQ4654287

A. G. Khovanskii

Publication date: 3 March 2005

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2004v059n04abeh000759

zbMATH Keywords

Galois theoryquadraturesLiouville theoryPicard-Vessiot theorysolvability of equations

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Differential and difference algebra (12H99) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

Related Items (3)

Investigation of the motion of a heavy body of revolution on a perfectly rough plane by the Kovacic algorithm ⋮ The QSSA in Chemical Kinetics: As Taught and as Practiced ⋮ Linear differential systems with small coefficients: various types of solvability and their verification

This page was built for publication: On solvability and unsolvability of equations in explicit form