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Hu Youren; Gao Xiaoshan
Source Publicationjournalofsystemsscienceandcomplexity
AbstractIn this paper, a Ritt-Wu characteristic set method for Laurent partial differential polynomial systems is presented. The concept of Laurent regular differential chain is defined and its basic properties are proved. The authors give a partial method to decide whether a Laurent differential chain A is Laurent regular. The decision for whether A is Laurent regular is reduced to the decision of whether a univariate differential chain A1 is Laurent regular. For a univariate differential chain A1, the authors first give a criterion for whether A1 is Laurent regular in terms of its generic zeros and then give partial results on deciding whether A1 is Laurent regular.
Document Type期刊论文
Recommended Citation
GB/T 7714
Hu Youren,Gao Xiaoshan. rittwucharacteristicsetmethodforlaurentpartialdifferentialpolynomialsystems[J]. journalofsystemsscienceandcomplexity,2019,32(1):62.
APA Hu Youren,&Gao Xiaoshan.(2019).rittwucharacteristicsetmethodforlaurentpartialdifferentialpolynomialsystems.journalofsystemsscienceandcomplexity,32(1),62.
MLA Hu Youren,et al."rittwucharacteristicsetmethodforlaurentpartialdifferentialpolynomialsystems".journalofsystemsscienceandcomplexity 32.1(2019):62.
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