An algorithm to compute Liouvillian solutions of prime order linear difference-differential equations

doi:10.1016/j.jsc.2009.09.002

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	An algorithm to compute Liouvillian solutions of prime order 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:306-323
摘要	A normal form is given for integrable linear difference-differential equations {sigma(Y) = AY, delta(Y) = BY}, which is irreducible over C(x, t) and solvable in terms of Liouvillian solutions. We refine this normal form and devise an algorithm to compute all Liouvillian solutions of such kinds of systems of prime order. (C) 2009 Elsevier Ltd. All rights reserved.
关键词	Linear difference-differential equations Normal form Algorithm Liouvillian solutions
DOI	10.1016/j.jsc.2009.09.002
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:000274649200002
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/11092
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. An algorithm to compute Liouvillian solutions of prime order linear difference-differential equations[J]. JOURNAL OF SYMBOLIC COMPUTATION,2010,45(3):306-323.
APA	Feng, Ruyong,Singer, Michael F.,&Wu, Min.(2010).An algorithm to compute Liouvillian solutions of prime order linear difference-differential equations.JOURNAL OF SYMBOLIC COMPUTATION,45(3),306-323.
MLA	Feng, Ruyong,et al."An algorithm to compute Liouvillian solutions of prime order linear difference-differential equations".JOURNAL OF SYMBOLIC COMPUTATION 45.3(2010):306-323.