Elimination Theory in Differential and Difference Algebra
文献类型：期刊论文
| 作者 | Li Wei1,2 ; Yuan Chun-Ming1,2
|
| 刊名 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| 出版日期 | 2019-02-01 |
| 卷号 | 32期号:1页码:287-316 |
| 关键词 | Differential Chow forms differential resultants sparse differential resultants Wu-Ritt characteristic sets |
| ISSN号 | 1009-6124 |
| DOI | 10.1007/s11424-019-8367-x |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000458795500016 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/32621]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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