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Effective differential Nullstellensatz for ordinary DAE systems with constant coefficients

  • Published:2014-10 Issue:5 Volume:30 Page:588-603
  • ISSN:0885-064X
  • Container-title:Journal of Complexity
  • language:en
  • Short-container-title:Journal of Complexity

Author:

D’Alfonso Lisi,Jeronimo Gabriela,Solernó Pablo

Funder

UBACYT

Math-AmSud SIMCA

Subsidio para Investigador CONICET

Publisher

Elsevier BV

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,General Mathematics

Reference23 articles.

1. Recent improvements in the complexity of the effective Nullstellensatz;Berenstein;Linear Algebra Appl.,1991

2. On the analogue for differential equations of the Hilbert–Netto theorem;Cohn;Bull. Amer. Math. Soc.,1941

3. The structure of polynomial ideals and Gröbner bases;Dubé;SIAM J. Comput.,1990

4. Some effectivity problems in polynomial ideal theory;Giusti,1984

5. A bound for orders in differential Nullstellensatz;Golubitsky;J. Algebra,2009

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1. Bounds for Elimination of Unknowns in Systems of Differential-Algebraic Equations;International Mathematics Research Notices;2021-04-22

2. Effective difference elimination and Nullstellensatz;Journal of the European Mathematical Society;2020-04-17

3. Elimination Theory in Differential and Difference Algebra;Journal of Systems Science and Complexity;2019-02

4. Proof mining and effective bounds in differential polynomial rings;Advances in Mathematics;2019-02

5. Effective bounds for the consistency of differential equations;Journal of Symbolic Computation;2018-11
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