An algorithm to compute Liouvillian solutions of prime order 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:306-323 |
| 关键词 | Linear difference-differential equations Normal form Algorithm Liouvillian solutions |
| ISSN号 | 0747-7171 |
| DOI | 10.1016/j.jsc.2009.09.002 |
| 英文摘要 | 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. |
| 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:000274649200002 |
| 出版者 | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11091]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。