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On “Good” Bases of Algebraico-Differential Ideals

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Differential Equations with Symbolic Computation

Part of the book series: Trends in Mathematics ((TM))

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Abstract

The characteristic set method of polynomial equations-solving is naturally extended to the differential case, which gives rise to an algorithmic method for solving arbitrary systems of algebrico-differential equations. The existence of “good bases” of the associated algebrico-differential ideals is also studied in this way. As an illustration of the method, the Devil problem of Pommaret is studied in detail.

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References

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Author information

Authors and Affiliations

  1. Key Laboratory of Mathematics Mechanization, Academy of Mathematics and System Sciences Academia Sinica, Beijing, 100080, China

    Wen-tsün Wu

Authors
  1. Wen-tsün Wu
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Editor information

Editors and Affiliations

  1. School of Science, Beihang University, 37 Xueyuan Road, Beijing, 100083, China

    Dongming Wang  & Zhiming Zheng  & 

  2. Laboratoire d’Informatique de Paris 6, Université Pierre et Marie Curie - CNRS, 8, rue due Capitaine Scott, 75015, Paris, France

    Dongming Wang

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© 2005 Birkhäuser Verlag Basel/Switzerland

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Wu, Wt. (2005). On “Good” Bases of Algebraico-Differential Ideals. In: Wang, D., Zheng, Z. (eds) Differential Equations with Symbolic Computation. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7429-2_19

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