Discontinuous solutions of semilinear differential-algebraic equations—II. P-consistency

DOI10.1016/0362-546X(95)00111-8zbMath0863.34001MaRDI QIDQ4894200

Patrick J. Rabier, Werner C. Rheinboldt

Publication date: 8 June 1997

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

zbMATH Keywords

distribution solution\({\mathcal P}\)-consistencyimpass pointTikhonov-Levinson theorem

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) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (2)

Numerical solution of hybrid systems of differential-algebraic equations ⋮ The Hopf bifurcation theorem for quasilinear differential-algebraic equations.

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• Discontinuous solutions of semilinear differential-algebraic equations—I. Distribution solutions
• Properties of solutions of ordinary differential equations with small parameters

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