On implicit systems of differential equations.

DOI10.1016/S0022-0396(03)00191-8zbMath1037.34001OpenAlexW2073439437MaRDI QIDQ1414008

F. Leon Pritchard

Publication date: 19 November 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-0396(03)00191-8

zbMATH Keywords

differential-algebraic equationcompletionexistence and uniqueness of solutions

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (4)

Existence and uniqueness results for a third-order implicit differential equation ⋮ A geometric index reduction method for implicit systems of differential algebraic equations ⋮ An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems ⋮ On the index and the order of quasi-regular implicit systems of differential equations

Uses Software

• SINGULAR

Cites Work

• A geometric treatment of implicit differential-algebraic equations
• Polynomial algorithms in computer algebra
• An intrinsic sufficient condition for regular decoupling
• Rank Invariants of Nonlinear Systems
• A modified algorithm for invertibility in nonlinear systems
• Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman
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