Reduction of underdetermined systems of ordinary differential equations. IV
type: Item
instance of: scholarly article
title: Reduction of underdetermined systems of ordinary differential equations. IV
zbMATH Open document ID: 1267.34066
DOI: 10.1134/S0012266112110018
published in: Differential Equations
publication date: 2013-03-04T00:00:00Z
review text: The author continues to study underdetermined systems of quasi-linear autonomous ordinary differential equations satisfying a constant rank condition. The current article considers the decomposition of such systems into two subsystems one of which contains less unknown functions than the original one. The analysis is done via the associated Pfaffian system and reduces to the question of finding an integrable codistribution of lower rank satisfying certain conditions. For Part III, see [the author, ibid. 47, No. 11, 1556--1562 (2011); translation from Differ. Uravn. 47, No. 11, 1538--1544 (2011; Zbl 1247.34055)].
reviewed by: Werner M. Seiler
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 34A09
zbMATH DE Number: 6140976
zbMATH Keywords: underdetermined ordinary differential equation
zbMATH Keywords: quasi-linear ordinary differential equation
zbMATH Keywords: decomposition
zbMATH Keywords: reduction
zbMATH Keywords: Pfaffian system
author: V. I. Elkin
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6140976