Liouvillian solutions of linear difference-differential equations

doi:10.1016/j.jsc.2009.09.001

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	Liouvillian solutions of linear difference-differential equations
	Feng, Ruyong1 ; Singer, Michael F.2; Wu, Min 3
	2010-03-01
发表期刊	JOURNAL OF SYMBOLIC COMPUTATION
ISSN	0747-7171
卷号	45 期号:3 页码:287-305
摘要	For a field k with an automorphism sigma and a derivation delta, we introduce the notion of Liouvillian solutions of linear difference-differential systems {sigma(Y) = AY, delta(Y) = BY} over k and characterize the existence of Liouvillian solutions in terms of the Galois group of the systems. In the forthcoming paper, we will propose an algorithm for deciding if linear difference-differential systems of prime order have Liouvillian solutions. (C) 2009 Elsevier Ltd. All rights reserved.
关键词	Linear difference-differential equations Galois theory Liouvillian sequences
DOI	10.1016/j.jsc.2009.09.001
语种	英语
资助项目	NKBRPC[2004CB318000] ; NSFC[10671200] ; National Science Foundation[CCF-0634123] ; National Natural Science Foundation of China[10671200] ; National Natural Science Foundation of China[9071801] ; National Natural Science Foundation of China[10801052]
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Theory & Methods ; Mathematics, Applied
WOS记录号	WOS:000274649200001
出版者	ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10771
专题	系统科学研究所
通讯作者	Feng, Ruyong
作者单位	1.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 2.N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA 3.E China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China
推荐引用方式 GB/T 7714	Feng, Ruyong,Singer, Michael F.,Wu, Min. Liouvillian solutions of linear difference-differential equations[J]. JOURNAL OF SYMBOLIC COMPUTATION,2010,45(3):287-305.
APA	Feng, Ruyong,Singer, Michael F.,&Wu, Min.(2010).Liouvillian solutions of linear difference-differential equations.JOURNAL OF SYMBOLIC COMPUTATION,45(3),287-305.
MLA	Feng, Ruyong,et al."Liouvillian solutions of linear difference-differential equations".JOURNAL OF SYMBOLIC COMPUTATION 45.3(2010):287-305.