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Regularity properties of one-leg methods for delay differential equations
Xiao, AG; Tang, YF
2001-02-01
Source PublicationCOMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN0898-1221
Volume41Issue:3-4Pages:363-372
AbstractThe 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.
Keywordone-leg method delay differential equation regularity spurious solution variable timestep
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000166807700009
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16380
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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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