A generalized matrix differential-algebraic equation
type: Item
instance of: scholarly article
title: A generalized matrix differential-algebraic equation
zbMATH Open document ID: 1339.34019
published in: Journal of Mathematical Sciences (New York)
publication date: 2016-01-13T00:00:00Z
review text: This paper is concerned with a linear boundary value problem for a generalized matrix differential-algebraic equation, which is described by a differential-algebraic matrix operator and an algebraic one. Conditions for the solvability and the structure of the generalized Green operator associated with the boundary value problem are established. The obtained results are extensions of those for boundary value problems for matrix differential equations and differential-algebraic equations. The main technique is the reduction of the matrix differential-algebraic equation to a traditional differential-algebraic equation. The investigation is divided into two cases which depends on whether the vectorized system is solvable or not solvable with respect to the derivative.
reviewed by: Vu Hoang Linh
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 34B27
zbMATH DE Number: 6529626
zbMATH Keywords: matrix differential-algebraic equations
zbMATH Keywords: boundary-value problem
zbMATH Keywords: solvability
zbMATH Keywords: generalized Green operator
author: S. M. Chujko
MaRDI profile type: Publication
Wikidata QID: Q115382324
full work available at URL: s10958-015-2545-8
OpenAlex ID: W2176208856
cites work: Q3996831
cites work: Q4344481
cites work: Minimum-Area ellipse containing a finite set of points. II
cites work: A critical periodic boundary value problem for a matrix Riccati equation
cites work: Application of perturbation theory to the solvability analysis of differential algebraic equations
cites work: Q4674795
cites work: Q4267915
cites work: Q3852479
cites work: Q4664616
cites work: Q5178669
cites work: Q2933353
cites work: Q5178668
cites work: Q5239618
cites work: Matrix Bernoulli equations. II.
cites work: Q4502390
cites work: Q3323137
DOI: 10.1007/S10958-015-2545-8
description: scientific article; zbMATH DE number 6529626