Rational solutions of ordinary difference equations
文献类型：期刊论文
| 作者 | Feng, Ruyong ; Gao, Xiao-Shan; Huang, Zhenyu
|
| 刊名 | JOURNAL OF SYMBOLIC COMPUTATION
 |
| 出版日期 | 2008-10-01 |
| 卷号 | 43期号:10页码:746-763 |
| 关键词 | rational solution polynomial solution ordinary difference equation Puiseux series Laurent series |
| ISSN号 | 0747-7171 |
| DOI | 10.1016/j.jsc.2008.03.001 |
| 英文摘要 | In this paper, we generalize the results of Feng and Gao [Feng, R., Gao, X.S., 2006. A polynomial time algorithm to find rational general solutions of first order autonomous ODEs. J. Symbolic Comput., 41(7), 735-762] to the case of difference equations. We construct two classes of ordinary difference equations (O Delta Es) whose solutions are exactly the univariate polynomial and rational functions respectively. On the basis of these O Delta Es and the difference characteristic set method, we give a criterion for an O Delta E with any order and nonconstant coefficients to have a rational type general solution. For the first-order autonomous (constant coefficient) O Delta E, we give a polynomial time algorithm for finding the polynomial solutions and an algorithm for finding the rational solutions for a given degree. (C) 2008 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000257517900004 |
| 出版者 | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6063]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Feng, Ruyong |
| 作者单位 | Acad Sinica, AMSS, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Feng, Ruyong,Gao, Xiao-Shan,Huang, Zhenyu. Rational solutions of ordinary difference equations[J]. JOURNAL OF SYMBOLIC COMPUTATION,2008,43(10):746-763. |
| APA | Feng, Ruyong,Gao, Xiao-Shan,&Huang, Zhenyu.(2008).Rational solutions of ordinary difference equations.JOURNAL OF SYMBOLIC COMPUTATION,43(10),746-763. |
| MLA | Feng, Ruyong,et al."Rational solutions of ordinary difference equations".JOURNAL OF SYMBOLIC COMPUTATION 43.10(2008):746-763. |
入库方式： OAI收割
来源：数学与系统科学研究院
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