Jacobi's bound for independent systems of algebraic partial differential equations

DOI10.1007/s00200-009-0092-6zbMath1169.12002OpenAlexW1997404130MaRDI QIDQ1015368

Marina Kondratieva, Alexander V. Mikhalev, E. V. Pankrat'ev

Publication date: 8 May 2009

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-009-0092-6

Mathematics Subject Classification ID

Differential algebra (12H05)

Related Items (5)

Quantitative aspects of the generalized differential Lüroth's theorem ⋮ Jacobi's bound: Jacobi's results translated in Kőnig's, Egerváry's and Ritt's mathematical languages ⋮ On necessary and sufficient conditions for differential flatness ⋮ Jacobi's bound for systems of algebraic differential equations ⋮ A geometric index reduction method for implicit systems of differential algebraic equations

Cites Work

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• Jacobi's bound for systems of algebraic differential equations
• Kähler differentials and differential algebra
• Jacobi's problem on the order of a system of differential equations
• Systems of n Partial Differential Equations in n Unknown Functions: the Conjecture of M. Janet
• Order and Dimension
• On the History of Combinatorial Optimization (Till 1960)
• Differential Dimension Polynomials and a Fundamental Theorem on Differential Modules

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