On the integrability of differential equations by quadratures according to Maximovič.
type: Item
instance of: scholarly article
title: On the integrability of differential equations by quadratures according to Maximovič.
zbMATH Open document ID: 1051.34003
author: Karl Michael Schmidt
published in: Journal of Computational and Applied Mathematics
publication date: 2004-08-10T00:00:00Z
review text: In the late 19th century, Vladimir Maximovič developed a theory of the integrability of ordinary differential equations by quadratures which has been more or less forgotten by now. The author intends to present in the article a rigorous form of Maximovič's definition of integrability by quadratures and to prove that all first-order ordinary differential equations integrable in this sense are linearisable by a transformation of the dependent variable. The article concludes with a brief account of Maximovič's life.
reviewed by: Werner M. Seiler
Mathematics Subject Classification ID: 34A05
Mathematics Subject Classification ID: 01A70
zbMATH DE Number: 2085602
zbMATH Keywords: ordinary differential equation
zbMATH Keywords: integration by quadrature
MaRDI profile type: Publication
full work available at URL: j.cam.2004.01.021
OpenAlex ID: W2095615440
cites work: Q3803878
cites work: Q3325831
cites work: Q5787786
DOI: 10.1016/J.CAM.2004.01.021
description: scientific article; zbMATH DE number 2085602