Asymptotical stability of Runge-Kutta methods for advanced linear impulsive differential equations with piecewise constant arguments

G. L. Zhang; M. H. Song

doi:10.1016/j.amc.2015.02.086

Asymptotical stability of Runge-Kutta methods for advanced linear impulsive differential equations with piecewise constant arguments

G. L. Zhang^*
, M. H. Song

^*Corresponding author for this work

School of Mathematics

Northeastern University China

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

12 Scopus citations

Abstract

This paper is concerned with a class of advanced linear impulsive differential equations with piecewise continuous argument. The sufficient and necessary condition for asymptotical stability of the exact solution is obtained. Under this condition, asymptotical stability of Runge-Kutta methods for this kind of equations is studied. Some numerical examples are given to confirm the theoretical results.

Original language	English
Pages (from-to)	831-837
Number of pages	7
Journal	Applied Mathematics and Computation
Volume	259
DOIs	https://doi.org/10.1016/j.amc.2015.02.086
State	Published - 15 May 2015

Keywords

Asymptotical stability
Impulsive differential equations
Padé approximation
Piecewise constant arguments
Runge-Kutta methods

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10.1016/j.amc.2015.02.086

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title = "Asymptotical stability of Runge-Kutta methods for advanced linear impulsive differential equations with piecewise constant arguments",

abstract = "This paper is concerned with a class of advanced linear impulsive differential equations with piecewise continuous argument. The sufficient and necessary condition for asymptotical stability of the exact solution is obtained. Under this condition, asymptotical stability of Runge-Kutta methods for this kind of equations is studied. Some numerical examples are given to confirm the theoretical results.",

keywords = "Asymptotical stability, Impulsive differential equations, Pad{\'e} approximation, Piecewise constant arguments, Runge-Kutta methods",

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AU - Zhang, G. L.

AU - Song, M. H.

PY - 2015/5/15

Y1 - 2015/5/15

N2 - This paper is concerned with a class of advanced linear impulsive differential equations with piecewise continuous argument. The sufficient and necessary condition for asymptotical stability of the exact solution is obtained. Under this condition, asymptotical stability of Runge-Kutta methods for this kind of equations is studied. Some numerical examples are given to confirm the theoretical results.

AB - This paper is concerned with a class of advanced linear impulsive differential equations with piecewise continuous argument. The sufficient and necessary condition for asymptotical stability of the exact solution is obtained. Under this condition, asymptotical stability of Runge-Kutta methods for this kind of equations is studied. Some numerical examples are given to confirm the theoretical results.

KW - Asymptotical stability

KW - Impulsive differential equations

KW - Padé approximation

KW - Piecewise constant arguments

KW - Runge-Kutta methods

UR - https://www.scopus.com/pages/publications/84925723324

U2 - 10.1016/j.amc.2015.02.086

DO - 10.1016/j.amc.2015.02.086

M3 - 文章

AN - SCOPUS:84925723324

SN - 0096-3003

VL - 259

SP - 831

EP - 837

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Asymptotical stability of Runge-Kutta methods for advanced linear impulsive differential equations with piecewise constant arguments

Abstract

Keywords

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