Some new results concerning index-3 differential-algebraic equations
type: Item
instance of: scholarly article
title: Some new results concerning index-3 differential-algebraic equations
zbMATH Open document ID: 0672.34006
DOI: 10.1016/0022-247X(89)90100-5
published in: Journal of Mathematical Analysis and Applications
publication date: 1989-01-01T00:00:00Z
review text: A class of nonlinear nontransferable differential-algebraic equations \(f(x'(t),x(t),t)=0\), which contains both the linear equations having the global index 3 and the nonlinear index-3 equations in the understandung of Gear and Petzold, is characterized. For such ``index-3-tractable'' equations a matrix criterion in terms of the partial Jacobians \(f'_ y(y,x,t)\), \(f'_ x(y,x,t)\) is given. Existence and uniqueness statements are proved. In particular, it is shown how to formulate initial conditions.
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 4099692
zbMATH Keywords: higher index equation
zbMATH Keywords: solvability
zbMATH Keywords: nonlinear nontransferable differential-algebraic equations
author: Roswitha März
MaRDI profile type: Publication
cites work: Q3994613
cites work: ODE Methods for the Solution of Differential/Algebraic Systems
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cites work: Index-2 differential-algebraic equations
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cites work: On initial value problems in differential-algebraic equations and their numerical treatment
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cites work: Numerical Solution of Nonlinear Differential Equations with Algebraic Constraints I: Convergence Results for Backward Differentiation Formulas
full work available at URL: 0022-247x(89)90100-5
OpenAlex ID: W2050719709
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description: scientific article; zbMATH DE number 4099692