Jacobi's bound for the order of systems of first order differential equations

Author:
Barbara A. Lando

Journal:
Trans. Amer. Math. Soc. **152** (1970), 119-135

MSC:
Primary 12.80

MathSciNet review:
0279079

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Abstract: Let be a system of differential polynomials in the differential indeterminates , and let be an irreducible component of the differential variety . If , there arises the question of securing an upper bound for the order of in terms of the orders of the polynomials in . It has been conjectured that the Jacobi number

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1970-0279079-1

Keywords:
Differential polynomial,
Jacobi bound,
differential kernel,
specialization,
dimension,
order of an irreducible differential variety

Article copyright:
© Copyright 1970
American Mathematical Society