Canonical forms for linear differential-algebraic equations with variable coefficients
type: Item
instance of: scholarly article
title: Canonical forms for linear differential-algebraic equations with variable coefficients
zbMATH Open document ID: 0824.34002
DOI: 10.1016/0377-0427(94)90080-9
author: Peter Kunkel
author: Volker Mehrmann
published in: Journal of Computational and Applied Mathematics
publication date: 1995-07-04T00:00:00Z
review text: A new set of local characterizing quantities for the treatment of linear time varying differential algebraic equations, \(E(t) x'(t)= A(t) x(t)+ f(t)\), are introduced and analyzed. These quantities are used to derive new global invariances which in turn lead to a generalization of the (global) differentiation index. New existence and uniqueness theorems are also derived. Numerical software based on this approach has recently become available.
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 770330
zbMATH Keywords: numerical software
zbMATH Keywords: local characterizing quantities
zbMATH Keywords: linear time varying differential algebraic equations
zbMATH Keywords: global invariances
zbMATH Keywords: differentiation index
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
reviewed by: Stephen L. Campbell
MaRDI profile type: Publication
full work available at URL: 0377-0427(94)90080-9
OpenAlex ID: W2043516901
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description: scientific article; zbMATH DE number 770330