Analytic synthesis of ordinary linear nonstationary differential equations reducible in the sense of Euler
type: Item
instance of: scholarly article
title: Analytic synthesis of ordinary linear nonstationary differential equations reducible in the sense of Euler
zbMATH Open document ID: 1094.34521
DOI: 10.1023/B:DIEQ.0000047038.60256.97
author: A. V. Podchukaev
author: A. V. Izbalykov
published in: Differential Equations
publication date: 2005-09-05T00:00:00Z
review text: The authors suggest an analytic method for constructing Euler reducible systems. They study the reducibility of an ordinary finite-dimensional \(n\)th-order nonstationary linear differential equation to an equation with constant coefficients. In contrast with the well-known Lyapunov reducibility, which deals with transformations of the state vector and does not affect the independent variable, they consider the Euler reducibility, which deals with the change of the independent variable and does not affect the state vector. They prove that a nonstationary linear (or nonlinear) system is Euler reducible, if there exists a change of the independent variable reducing the system to a system with constant coefficients.
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 2203161
zbMATH Keywords: Euler reducible systems
zbMATH Keywords: Lyapunov reducibility
reviewed by: S. D. Bajpai
MaRDI profile type: Publication
full work available at URL: b:dieq.0000047038.60256.97
OpenAlex ID: W1995165993
description: scientific article