Stability analysis for special kind of pantograph equation

Jing Jun Zhao; Yang Xu; Wan Rong Cao

Stability analysis for special kind of pantograph equation

Jing Jun Zhao^*
, Yang Xu
, Wan Rong Cao

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

The stability of a special kind of pantograph equation was studied. A sufficient condition of the asymptotic stability for the system was proposed through transformation. Furthermore, the variable stepsize was quoted. It is proved that the L -stable Runge-Kutta methods with variable stepsize preserve the stability of the equation.

Original language	English
Pages (from-to)	2598-2599+2615
Journal	Xitong Fangzhen Xuebao / Journal of System Simulation
Volume	17
Issue number	11
State	Published - Nov 2005

Keywords

Differential Algebraic Equation
Numerical Method
Pantograph Equation
Stability

Cite this

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title = "Stability analysis for special kind of pantograph equation",

abstract = "The stability of a special kind of pantograph equation was studied. A sufficient condition of the asymptotic stability for the system was proposed through transformation. Furthermore, the variable stepsize was quoted. It is proved that the L -stable Runge-Kutta methods with variable stepsize preserve the stability of the equation.",

keywords = "Differential Algebraic Equation, Numerical Method, Pantograph Equation, Stability",

author = "Zhao, \{Jing Jun\} and Yang Xu and Cao, \{Wan Rong\}",

year = "2005",

month = nov,

language = "英语",

volume = "17",

pages = "2598--2599+2615",

journal = "Xitong Fangzhen Xuebao / Journal of System Simulation",

issn = "1004-731X",

publisher = "Acta Simulata Systematica Sinica",

number = "11",

}

TY - JOUR

T1 - Stability analysis for special kind of pantograph equation

AU - Zhao, Jing Jun

AU - Xu, Yang

AU - Cao, Wan Rong

PY - 2005/11

Y1 - 2005/11

N2 - The stability of a special kind of pantograph equation was studied. A sufficient condition of the asymptotic stability for the system was proposed through transformation. Furthermore, the variable stepsize was quoted. It is proved that the L -stable Runge-Kutta methods with variable stepsize preserve the stability of the equation.

AB - The stability of a special kind of pantograph equation was studied. A sufficient condition of the asymptotic stability for the system was proposed through transformation. Furthermore, the variable stepsize was quoted. It is proved that the L -stable Runge-Kutta methods with variable stepsize preserve the stability of the equation.

KW - Differential Algebraic Equation

KW - Numerical Method

KW - Pantograph Equation

KW - Stability

UR - https://www.scopus.com/pages/publications/27944470088

M3 - 文章

AN - SCOPUS:27944470088

SN - 1004-731X

VL - 17

SP - 2598-2599+2615

JO - Xitong Fangzhen Xuebao / Journal of System Simulation

JF - Xitong Fangzhen Xuebao / Journal of System Simulation

IS - 11

ER -

Stability analysis for special kind of pantograph equation

Abstract

Keywords

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