文章基本信息

标题：Oscillation of Runge-Kutta methods for advanced impulsive differential equations with piecewise constant arguments
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作者：Gui-Lai Zhang
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2017
卷号：2017
期号：1
页码：32
DOI：10.1186/s13662-016-1067-0
语种：English
出版社：Hindawi Publishing Corporation
摘要：The purpose of this paper is to study oscillation of Runge-Kutta methods for linear advanced impulsive differential equations with piecewise constant arguments. We obtain conditions of oscillation and nonoscillation for Runge-Kutta methods. Moreover, we prove that the oscillation of the exact solution is preserved by the θ-methods. It turns out that the zeros of the piecewise linear interpolation functions of the numerical solution converge to the zeros of the exact solution. We give some numerical examples to confirm the theoretical results.
关键词：impulsive differential equations ; piecewise constant arguments ; Runge-Kutta methods ; oscillation ; Padé approximation