Solvability of linear differential algebraic equations with properly stated leading terms
type: Item
instance of: scholarly article
title: Solvability of linear differential algebraic equations with properly stated leading terms
zbMATH Open document ID: 1060.34002
DOI: 10.1007/BF03323000
published in: Results in Mathematics
publication date: 2004-10-28T00:00:00Z
review text: The paper is a continuation of the approach presented in the article [the author, Result. Math. 42, No. 3--4, 308--338 (2002; Zbl 1047.34005)] to characterize a general solvability statement for linear differential-algebraic equations with continuous coefficients and properly leading terms of the form \[ A(t)(D(t) x(t))'+ B(t)x(t)= q(t),\quad t\in I,\quad I\subseteq\mathbb{R}, \] with \(A(t)\in L(\mathbb{R}^n, \mathbb{R}^m)\), \(D(t)\in L(\mathbb{R}^m, \mathbb{R}^n)\), \(B(t)\in L(\mathbb{R}^n, \mathbb{R}^n)\) and \(q(t)\in \mathbb{R}^n\).
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34A12
zbMATH DE Number: 2111448
zbMATH Keywords: differential algebraic equations
zbMATH Keywords: regularity
zbMATH Keywords: tractability index
zbMATH Keywords: initial value problems
author: Roswitha März
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf03323000
OpenAlex ID: W1990107333
description: scientific article; zbMATH DE number 2111448