Reduction of regular linear systems of ordinary differential equations to canonical form
type: Item
instance of: scholarly article
title: Reduction of regular linear systems of ordinary differential equations to canonical form
zbMATH Open document ID: 0648.34041
DOI: 10.1007/BF01057308
author: V. V. Ovcharenko
author: N. P. Makarushchenko
published in: Ukrainian Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: Linear n-dimensional systems of form \((A+Bd/dt)x=f(t)\) are considered. The reduction of the \(\lambda\)-matrix \((A+B\lambda)\) (provided that det\(\not\equiv 0)\) to a simple canonical form by unimodular and regular constant matrices is proved.
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 4057972
zbMATH Keywords: unimodular matrix
zbMATH Keywords: regular constant matrices
reviewed by: Péter F. Moson
MaRDI profile type: Publication
cites work: Q3994613
cites work: Q3900330
cites work: Periodic solutions of a linear system of differential equations with a degenerate matrix acting on the derivatives
cites work: Q3881160
cites work: Linear Systems of Differential Equations with Singular Coefficients
full work available at URL: https://doi.org/10.1007/bf01057308
OpenAlex ID: W2087184524
description: scientific article; zbMATH DE number 4057972