Nonstandard singular perturbation systems and higher index differential-algebraic systems.

DOI10.1016/S0096-3003(01)00288-0zbMath1038.34002MaRDI QIDQ1855937

Carlos H. Muravchik, Maria Etchechoury

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

differential-algebraic systemssingular perturbations

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Singular perturbations for ordinary differential equations (34E15)

Cites Work

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• Applications of centre manifold theory
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• On a geometrical interpretation of differential-algebraic equations
• Differential-Algebraic Systems as Differential Equations on Manifolds
• Geometric characterization of singular differential algebraic equations
• Non-standard singularly perturbed control systems and differential-algebraic equations
• On the Exponential Stability of Singularly Perturbed Systems
• On the connection between nonlinear differential-algebraic equations and singularly perturbed control systems in nonstandard form
• Properties of solutions of ordinary differential equations with small parameters

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