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 | |
发表期刊 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY |
ISSN | 1009-6124 |
卷号 | 32期号:1页码:287-316 |
摘要 | 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. |
关键词 | Differential Chow forms differential resultants sparse differential resultants Wu-Ritt characteristic sets |
DOI | 10.1007/s11424-019-8367-x |
语种 | 英语 |
资助项目 | National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[11301519] ; National Natural Science Foundation of China[11671014] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Interdisciplinary Applications |
WOS记录号 | WOS:000458795500016 |
出版者 | SPRINGER HEIDELBERG |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/32622 |
专题 | 系统科学研究所 |
通讯作者 | Li Wei |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
推荐引用方式 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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