On an existence and uniqueness theory for nonlinear differential- algebraic equations

DOI10.1007/BF01187550zbMath0793.34003MaRDI QIDQ1320127

Sebastian Reich

Publication date: 1991

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

zbMATH Keywords

regularitysolvabilityindexcircuitexistence and uniqueness theoryconstrained manifoldsdifferential-geometric structurenonlinear and nonautonomous differential-algebraic equations

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Analytic circuit theory (94C05)

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• Impasse points. Part I: Numerical aspects
• Solutions of singular constrained differential equations: A generalization of circuits containing capacitor-only loops and inductor-only cutsets
• Normal forms for constrained nonlinear differential equations. II. Bifurcation

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