Regularity properties of one-leg methods for delay differential equations

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	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.