Liouvillian solutions of linear difference-differential equations
文献类型：期刊论文
| 作者 | Feng, Ruyong1 ; Singer, Michael F.2; Wu, Min3
|
| 刊名 | JOURNAL OF SYMBOLIC COMPUTATION
 |
| 出版日期 | 2010-03-01 |
| 卷号 | 45期号:3页码:287-305 |
| 关键词 | Linear difference-differential equations Galois theory Liouvillian sequences |
| ISSN号 | 0747-7171 |
| DOI | 10.1016/j.jsc.2009.09.001 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000274649200001 |
| 出版者 | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10770]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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