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Stability of continuous Runge-Kutta-type methods for nonlinear neutral delay-differential equations

Author
WANSHENG WANG1 2 ; YUAN ZHANG1 ; SHOUFU LI2
[1] School of Mathematics and Computational Science, Changsha University of Science and Technology, 410076 Hunan, China
[2] School of Mathematics and Computational Science, Xiangtan University, 411105 Hunan, China
Source

Applied mathematical modelling. 2009, Vol 33, Num 8, pp 3319-3329, 11 p ; ref : 38 ref

CODEN
AMMODL
ISSN
0307-904X
Scientific domain
Control theory, operational research; Civil engineering; Mathematics; Mechanics acoustics
Publisher
Elsevier, Kidlington
Publication country
United Kingdom
Document type
Article
Language
English
Author keyword
Asymptotic stability Continuous Runge-Kutta methods Contractivity Nonlinear neutral delay-differential Numerical stability equations
Keyword (fr)
Contraction Effet non linéaire Equation différentielle Equation à retard Interpolation linéaire Méthode Runge Kutta Retard Schéma Euler Stabilité asymptotique Stabilité numérique Système neutre
Keyword (en)
Contraction Non linear effect Differential equation Delay equation Linear interpolation Runge Kutta method Delay Euler scheme Asymptotic stability Numerical stability Neutral system
Keyword (es)
Contracción Efecto no lineal Ecuación diferencial Ecuación retardada Interpolación lineal Método Runge Kutta Retraso Esquema Euler Estabilidad asintótica Estabilidad numérica Sistema neutro
Classification
Pascal
001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02E Mathematical analysis / 001A02E07 Ordinary differential equations

Discipline
Mathematics
Origin
Inist-CNRS
Database
PASCAL
INIST identifier
21458935

Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS

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