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Elimination Theory in Differential and Difference Algebra
Li Wei1,2; Yuan Chun-Ming1,2
2019-02-01
Source PublicationJOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN1009-6124
Volume32Issue:1Pages:287-316
AbstractElimination 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.
KeywordDifferential Chow forms differential resultants sparse differential resultants Wu-Ritt characteristic sets
DOI10.1007/s11424-019-8367-x
Language英语
Funding ProjectNational Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[11301519] ; National Natural Science Foundation of China[11671014]
WOS Research AreaMathematics
WOS SubjectMathematics, Interdisciplinary Applications
WOS IDWOS:000458795500016
PublisherSPRINGER HEIDELBERG
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/32622
Collection系统科学研究所
Affiliation1.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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