Elimination Theory in Differential and Difference Algebra

doi:10.1007/s11424-019-8367-x

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	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.