On the existence and uniqueness of solutions of nonlinear semi-implicit differential-algebraic equations

DOI10.1016/0362-546X(91)90172-WzbMath0722.34044OpenAlexW2010987887MaRDI QIDQ3209454

Werner C. Rheinboldt

Publication date: 1991

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(91)90172-w

zbMATH Keywords

computational solutionExistence and uniqueness resultssemi-implicit, nonlinear differential- algebraic equationssmooth vectorfields

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) General theory of functional-differential equations (34K05) Ordinary differential equations and systems on manifolds (34C40) Numerical methods for ordinary differential equations (65L99)

Related Items (12)

The Drazin inverse in multibody system dynamics ⋮ Automatic generation and numerical integration of differential-algebraic equations of multibody dynamics ⋮ Singularly perturbed differential/algebraic equations. I: Asymptotic expansion of outer solutions ⋮ Multistep methods for differential algebraic equations ⋮ DAE Aspects of Multibody System Dynamics ⋮ On the practical stability of control processes governed by implicit differential equations: the invariant ellipsoid based approach ⋮ An implicit systems characterization of a class of impulsive linear switched control processes. part 1: modeling ⋮ Solving algebraically explicit DAEs with the MANPAK-manifold-algorithms ⋮ ODAE methods for the numerical solution of Euler-Lagrange equations ⋮ Dependence of solutions of nonsmooth differential-algebraic equations on parameters ⋮ A Posteriori Error Estimation in Model Order Reduction of Elastic Multibody Systems with Large Rigid Motion ⋮ Solving problems with unilateral constraints by DAE methods

Uses Software

• PITCON

Cites Work

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• On the monotone convergence of Newton's method
• Automatic integration of Euler-Lagrange equations with constraints
• Differential-Algebraic Systems as Differential Equations on Manifolds
• Numerical simulation of trajectory prescribed path control problems by the backward differentiation formulas
• Differential-Algebraic Equation Index Transformations
• Approximation Methods for the Consistent Initialization of Differential-Algebraic Equations

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