KMS Of Academy of mathematics and systems sciences, CAS
rittwucharacteristicsetmethodforlaurentpartialdifferentialpolynomialsystems | |
Hu Youren; Gao Xiaoshan![]() | |
2019 | |
Source Publication | journalofsystemsscienceandcomplexity
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ISSN | 1009-6124 |
Volume | 32Issue:1Pages:62 |
Abstract | In 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. |
Language | 英语 |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/48434 |
Collection | 系统科学研究所 |
Affiliation | 中国科学院数学与系统科学研究院 |
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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