The discrete dynamics of nonlinear infinite-delay-differential equations

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	The discrete dynamics of nonlinear infinite-delay-differential equations
	Zhang, CJ ; Sun, G
	2002-07-01
发表期刊	APPLIED MATHEMATICS LETTERS
ISSN	0893-9659
卷号	15 期号:5 页码:521-526
摘要	This paper deals with numerical stability of nonlinear infinite-delay systems of the form y' (t) = f (t, y(t), y(pt)) (p is an element of (0, 1), t > 0). Recently, linear stability properties of some numerical methods for infinite delay systems have been studied by several authors (cf. [1-9]). However, few results have been devoted tu the nonlinear case, This paper considers global and asymptotic stability of one-leg theta-methods for the above nonlinear systems, Some stability criteria are obtained. (C) 2002 Elsevier Science Ltd. All rights reserved.
关键词	nonlinear stability one-leg 0-methods infinite delay-differential
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000175800800001
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/17526
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. The discrete dynamics of nonlinear infinite-delay-differential equations[J]. APPLIED MATHEMATICS LETTERS,2002,15(5):521-526.
APA	Zhang, CJ,&Sun, G.(2002).The discrete dynamics of nonlinear infinite-delay-differential equations.APPLIED MATHEMATICS LETTERS,15(5),521-526.
MLA	Zhang, CJ,et al."The discrete dynamics of nonlinear infinite-delay-differential equations".APPLIED MATHEMATICS LETTERS 15.5(2002):521-526.