On the structure of the general solution and conditions of solvability of the Cauchy problem for degenerate linear systems of higher-order differential equations
type: Item
instance of: scholarly article
title: On the structure of the general solution and conditions of solvability of the Cauchy problem for degenerate linear systems of higher-order differential equations
zbMATH Open document ID: 1290.34012
author: S. P. Pafyk
author: V. P. Yakovets
published in: Ukrainian Mathematical Journal
publication date: 2013-11-25T00:00:00Z
review text: For a system of linear differential equations of order \(p\) with identically degenerate coefficient matrix of higher derivatives conditions are established under which this system has a general solution of the Cauchy type. The structure of this solution is determined. Conditions for the existence and uniqueness of the solution of the corresponding initial value problem are also obtained.
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34A12
zbMATH DE Number: 6232389
zbMATH Keywords: differential-algebraic systems
zbMATH Keywords: linear equations
zbMATH Keywords: linear systems
MaRDI profile type: Publication
full work available at URL: s11253-013-0780-z
OpenAlex ID: W1985415800
cites work: Q4274951
cites work: Q4502390
cites work: On some properties of degenerate linear systems
cites work: Q3994613
DOI: 10.1007/S11253-013-0780-Z
description: scientific article; zbMATH DE number 6232389