KMS Of Academy of mathematics and systems sciences, CAS
| Elimination Theory in Differential and Difference Algebra | |
Li Wei1,2 ; Yuan Chun-Ming1,2
| |
| 2019-02-01 | |
| Source Publication | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| ISSN | 1009-6124 |
| Volume | 32Issue:1Pages:287-316 |
| Abstract | Elimination theory is central in differential and difference algebra. The Wu-Ritt characteristic set method, the resultant and the Chow form are three fundamental tools in the elimination theory for algebraic differential or difference equations. In this paper, the authors mainly present a survey of the existing work on the theory of characteristic set methods for differential and difference systems, the theory of differential Chow forms, and the theory of sparse differential and difference resultants. |
| Keyword | Differential Chow forms differential resultants sparse differential resultants Wu-Ritt characteristic sets |
| DOI | 10.1007/s11424-019-8367-x |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[11301519] ; National Natural Science Foundation of China[11671014] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Interdisciplinary Applications |
| WOS ID | WOS:000458795500016 |
| Publisher | SPRINGER HEIDELBERG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/32622 |
| Collection | 系统科学研究所 |
| Corresponding Author | Li Wei |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Li Wei,Yuan Chun-Ming. Elimination Theory in Differential and Difference Algebra[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2019,32(1):287-316. |
| APA | Li Wei,&Yuan Chun-Ming.(2019).Elimination Theory in Differential and Difference Algebra.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,32(1),287-316. |
| MLA | Li Wei,et al."Elimination Theory in Differential and Difference Algebra".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 32.1(2019):287-316. |
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