The Greenspan Bound for the Order of Differential Systems

DOI10.2307/2042489zbMath0436.12018OpenAlexW4245838096MaRDI QIDQ3876027

Richard M. Cohn

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2042489

zbMATH Keywords

Jacobi boundGreenspan boundorder of differential systemssystem of ordinary differential polynomials in differential indeterminates

Mathematics Subject Classification ID

Differential algebra (12H05) Abstract differential equations (12H20) Modules of differentials (13N05)

Related Items (6)

Differential and difference algebra ⋮ Order and Dimension ⋮ Computation of differential Chow forms for ordinary prime differential ideals ⋮ Difference Algebra ⋮ A linear algebra approach to the differentiation index of generic DAE systems ⋮ On the index and the order of quasi-regular implicit systems of differential equations

Cites Work

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• A bound for the orders of the components of a system of algebraic difference equations
• Systems of algebraic differential equations
• Jacobi's problem on the order of a system of differential equations
• Jacobi's Bound for the Order of Systems of First Order Differential Equations
• Jacobi's Bound for First Order Difference Equations

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