Foliations consistent with systems of differential equations of arbitrary-order
type: Item
instance of: scholarly article
title: Foliations consistent with systems of differential equations of arbitrary-order
zbMATH Open document ID: 0826.57016
author: N. I. Zhukova
published in: Russian Mathematics
publication date: 1994-10-05T00:00:00Z
review text: The author considers foliations consistent with some systems of ordinary differential equations and shows that they are consistent also with systems of paths built from solutions of ordinary differential equations. Therefore, the results of the author's earlier paper [Sov. Math. 33, No. 7, 5-15 (1989); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1989, No. 7(326), 5-13 (1989; Zbl 0683.53032)], remain valid for foliations considered here. The paper is dotted with misprints and other mistakes changing its mathematical meaning. For example, conditions P1--P3 imply that \(P(x)\) consists of all the piecewise smooth curves on \(X\) originated at \(x\). This makes all the consideration meaningless. Also, the language of the English translation is a bit strange.
Mathematics Subject Classification ID: 57R30
zbMATH DE Number: 640167
zbMATH Keywords: foliations consistent with some systems of ordinary differential equations
reviewed by: Paweł Walczak
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 640167