A class of ergodic solutions of nonlinear differential equations and numerical treatment
文献类型：期刊论文
| 作者 | Agarwal, RP; Hong, JL ; Liu, Y
|
| 刊名 | MATHEMATICAL AND COMPUTER MODELLING
 |
| 出版日期 | 2000-08-01 |
| 卷号 | 32期号:3-4页码:493-506 |
| 关键词 | pseudo almost-periodic solutions exponential trichotomy nonlinear differential equations numerical solution of initial value problem |
| ISSN号 | 0895-7177 |
| 英文摘要 | In this paper, we give existence theorems of a class of ergodic solutions, pseudo almost-periodic solutions, for nonlinear differential equations. Based on these, a useful numerical method of such kind of solutions for nonlinear differential equations is established. A numerical example of the ergodic type nonlinear oscillation equation is illustrated by both the symplectic scheme and the method of computing initial value for the pseudo almost-periodic solution. (C) 2000 Elsevier Science Ltd. All rights reserved. |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000088702000013 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15107]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Agarwal, RP |
| 作者单位 | 1.Natl Univ Singapore, Dept Math, Singapore 119260, Singapore 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 3.Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China |
| 推荐引用方式 GB/T 7714 | Agarwal, RP,Hong, JL,Liu, Y. A class of ergodic solutions of nonlinear differential equations and numerical treatment[J]. MATHEMATICAL AND COMPUTER MODELLING,2000,32(3-4):493-506. |
| APA | Agarwal, RP,Hong, JL,&Liu, Y.(2000).A class of ergodic solutions of nonlinear differential equations and numerical treatment.MATHEMATICAL AND COMPUTER MODELLING,32(3-4),493-506. |
| MLA | Agarwal, RP,et al."A class of ergodic solutions of nonlinear differential equations and numerical treatment".MATHEMATICAL AND COMPUTER MODELLING 32.3-4(2000):493-506. |
入库方式： OAI收割
来源：数学与系统科学研究院
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