KMS Of Academy of mathematics and systems sciences, CAS
Regularity properties of one-leg methods for delay differential equations | |
Xiao, AG; Tang, YF | |
2001-02-01 | |
发表期刊 | COMPUTERS & MATHEMATICS WITH APPLICATIONS |
ISSN | 0898-1221 |
卷号 | 41期号:3-4页码:363-372 |
摘要 | The main purpose of this paper is to investigate the asymptotic states of one-leg methods for multidelay differential equations. In particular, the existence of spurious steady solutions and period-2 solutions in constant or variable timestep is studied, and the concepts of R-[1]-regularity and R-[2]-regularity of one-leg methods for multidelay differential equations are introduced and studied. Some conditions guaranteeing R-[1]-regularity and R-[2]-regularity of such methods applied to multidelay differential equations with some important structures are given. (C) 2001 Elsevier Science Ltd. All rights reserved. |
关键词 | one-leg method delay differential equation regularity spurious solution variable timestep |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000166807700009 |
出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/16380 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Tang, YF |
作者单位 | 1.Acad Sinica, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 2.Xiangtan Univ, Dept Math, Xiangtan 411105, Peoples R China |
推荐引用方式 GB/T 7714 | Xiao, AG,Tang, YF. Regularity properties of one-leg methods for delay differential equations[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2001,41(3-4):363-372. |
APA | Xiao, AG,&Tang, YF.(2001).Regularity properties of one-leg methods for delay differential equations.COMPUTERS & MATHEMATICS WITH APPLICATIONS,41(3-4),363-372. |
MLA | Xiao, AG,et al."Regularity properties of one-leg methods for delay differential equations".COMPUTERS & MATHEMATICS WITH APPLICATIONS 41.3-4(2001):363-372. |
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