Linear differential algebraic equations of index 1 and their adjoint equations
type: Item
instance of: scholarly article
title: Linear differential algebraic equations of index 1 and their adjoint equations
zbMATH Open document ID: 0963.34001
DOI: 10.1007/BF03322509
author: Katalin Balla
author: Roswitha März
published in: Results in Mathematics
publication date: 2001-06-18T00:00:00Z
review text: For linear DAEs of tractability index 1 adjoint equation is introduced. The solvability of this adjoint equation is shown at the lowest possible smoothness. The fundamental matrices of both equations are defined and their relationships are characterized. The Lagrange identity for DAEs is introduced as an extension of the Lagrange identity that is well-known for ODEs. All analyses are made in great detail.
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 1448539
zbMATH Keywords: linear differential-algebraic equations of index 1
zbMATH Keywords: adjoint equation
zbMATH Keywords: solvability
zbMATH Keywords: fundamental matrices
reviewed by: René Lamour
MaRDI profile type: Publication
cites work: Q5848416
cites work: Q3866411
cites work: Periodic motions
cites work: Q3766743
cites work: Linear subspaces for linear DAEs of index 1
cites work: Boundary conditions and their transfer for differential-algebraic equations of index 1
cites work: Duality, observability, and controllability for linear time-varying descriptor systems
cites work: Transfer of boundary conditions for DAE<scp>s</scp>of index 1
cites work: Q4016505
cites work: Q4208503
full work available at URL: https://doi.org/10.1007/bf03322509
OpenAlex ID: W2110716929
Recommended article: A unified approach to linear differential algebraic equations and their adjoints
Recommended article: On linear differential-algebraic equations and linearizations
Recommended article: The index of linear differential algebraic equations with properly stated leading terms
Recommended article: Upon the concept of index of linear partial differential-algebraic equations
Recommended article: The index and split forms of linear differential-algebraic equations
Recommended article: Index for linear systems of differential-algebraic equations with partial derivatives
Recommended article: Q3987823
Recommended article: Subadjoint equations of index-1 linear singular difference equations
Recommended article: Linear relations among algebraic solutions of differential equations
Recommended article: Linear spaces for index 2 differential-algebraic equations
description: scientific article; zbMATH DE number 1448539