Nonlinear stability of Runge-Kutta methods applied to infinite delay differential equation
文献类型：期刊论文
| 作者 | Zhang, CJ; Sun, G |
| 刊名 | MATHEMATICAL AND COMPUTER MODELLING
 |
| 出版日期 | 2004-02-01 |
| 卷号 | 39期号:4-5页码:495-503 |
| 关键词 | nonlinear stability Runge-Kutta methods infinite-delay-differential equations |
| ISSN号 | 0895-7177 |
| DOI | 10.1016/S0895-7177(04)00035-4 |
| 英文摘要 | In functional differential equations (FDEs), there is a class of infinite delay-differential equations (IDDEs) with proportional delays, which aries in many scientific fields such as electric mechanics, quantum mechanics, and optics. Ones have found that-there exist very different mathematical challenges between FDEs with proportional delays and those with constant delays. Some research on the numerical solutions and the corresponding analysis for the linear FDEs with proportional delays have been presented by-several authors. However, up to now them research for nonlinear case still remains to be done. For this, in the present paper, we deal with nonlinear stability of the Runge-Kutta (RK)methods for a class of IDDEs with proportional delays. It is shown under the suitable conditions that a (k, l)-algebraically stable RK method for this kind of nonlinear IDDE is globally and asymptotically stable. (C) 2004 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000220684900010 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19456]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, CJ |
| 作者单位 | 1.Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China 2.Chinese Acad Sci, Inst Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, CJ,Sun, G. Nonlinear stability of Runge-Kutta methods applied to infinite delay differential equation[J]. MATHEMATICAL AND COMPUTER MODELLING,2004,39(4-5):495-503. |
| APA | Zhang, CJ,&Sun, G.(2004).Nonlinear stability of Runge-Kutta methods applied to infinite delay differential equation.MATHEMATICAL AND COMPUTER MODELLING,39(4-5),495-503. |
| MLA | Zhang, CJ,et al."Nonlinear stability of Runge-Kutta methods applied to infinite delay differential equation".MATHEMATICAL AND COMPUTER MODELLING 39.4-5(2004):495-503. |
入库方式： OAI收割
来源：数学与系统科学研究院
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