Discontinuous solutions of semilinear differential-algebraic equations—I. Distribution solutions

DOI10.1016/0362-546X(95)00110-HzbMath0865.34003OpenAlexW1975213027MaRDI QIDQ4894199

Patrick J. Rabier, Werner C. Rheinboldt

Publication date: 1 October 1996

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

Full work available at URL: https://doi.org/10.1016/0362-546x(95)00110-h

zbMATH Keywords

impasse pointclassical solutionimplicit differential equationsdistribution solution

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Implicit ordinary differential equations, differential-algebraic equations (34A09)

Related Items (5)

Numerical solution of hybrid systems of differential-algebraic equations ⋮ On impulse-free solutions and stability of switched nonlinear differential-algebraic equations ⋮ The Hopf bifurcation theorem for quasilinear differential-algebraic equations. ⋮ Discontinuous solutions of semilinear differential-algebraic equations—II. P-consistency ⋮ Differential-Algebraic Equations: A Tutorial Review

Cites Work

• Unnamed Item
• On impasse points of quasilinear differential-algebraic equations
• Finite difference methods for time dependent, linear differential algebraic equations
• A geometric treatment of implicit differential-algebraic equations
• Implicit differential equations near a singular point
• Time-dependent linear DAEs with discontinuous inputs
• Impasse points. Part I: Numerical aspects
• Jump behavior of circuits and systems
• On the Computation of Impasse Points of Quasi-Linear Differential-Algebraic Equations
• Solvability of General Differential Algebraic Equations

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