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

G.L. Zhang and M.H. Song

Applied Mathematics and Computation, 2015, vol. 259, issue C, 831-837

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: Impulsive differential equations; Piecewise constant arguments; Runge–Kutta methods; Asymptotical stability; Padé approximation (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:831-837

DOI: 10.1016/j.amc.2015.02.086

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