Classification of second order linear ordinary differential equations with rational coefficients
type: Item
instance of: scholarly article
title: Classification of second order linear ordinary differential equations with rational coefficients
zbMATH Open document ID: 1422.34127
DOI: 10.1134/S1995080219010037
published in: Lobachevskii Journal of Mathematics
publication date: 2019-07-15T00:00:00Z
review text: This work is devoted to second order linear differential equations \(y^{\prime \prime }+A(z)y^{\prime }+B(z)y=0\) with rational coefficient functions \(A, B\). By computing the symmetry group and the generators of the field of differential invariants a classification of this class of equations is obtained. Five examples are discussed with their associated pictures.
Mathematics Subject Classification ID: 34C14
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 7080614
zbMATH Keywords: ordinary differential equation
zbMATH Keywords: linear equation
zbMATH Keywords: differential invariant
zbMATH Keywords: jet space
author: P. V. Bibikov
reviewed by: Mircea Crasmareanu
MaRDI profile type: Publication
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full work available at URL: s1995080219010037
OpenAlex ID: W2938298829
description: scientific article; zbMATH DE number 7080614