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Triviality and Dimension of a System of Algebraic Differential Equations |
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| Authors: | Abdelilah Kandri Rody Hamid Maârouf Mohamed Ssafini |
| Affiliation: | (1) Faculté des Sciences Semlalia, Département de mathématiques, B.P S15, Avenue Safi, Marrakech, Maroc |
| Abstract: | We present an algorithm that tests the triviality and computes the differential dimension and a parametric set for an ordinary differential polynomial ideal. No factorization is needed. The basic operation in our algorithm is the test of invertibility of an algebraic polynomial with respect to a finite set of algebraic polynomials. The algorithm has been implemented in the computer algebra system MAPLE and has been tested successfully on many examples. |
| Keywords: | differential algebra elimination theory autoreduced set characteristic set invertibility of a polynomial differential dimension parametric set |
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