Oscillation of Runge-Kutta methods for advanced impulsive differential equations with piecewise constant arguments

DOI10.1186/S13662-016-1067-0zbMath1422.65118OpenAlexW2580459080WikidataQ59526837 ScholiaQ59526837MaRDI QIDQ1628469

Gui-Lai Zhang

Publication date: 4 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-1067-0

zbMATH Keywords

oscillationPadé approximationRunge-Kutta methodsimpulsive differential equationspiecewise constant arguments

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Padé approximation (41A21) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (3)

CONVERGENCE AND STABILITY OF GALERKIN FINITE ELEMENT METHOD FOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION WITH PIECEWISE CONTINUOUS ARGUMENTS OF ADVANCED TYPE ⋮ Numerical oscillation and non-oscillation analysis of the mixed type impulsive differential equation with piecewise constant arguments ⋮ On numerical approximation of a delay differential equation with impulsive self-support condition

Uses Software

• RODAS

Cites Work

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• Asymptotical stability of Runge-Kutta methods for advanced linear impulsive differential equations with piecewise constant arguments
• Stability of \(\theta\)-methods for advanced differential equations with piecewise continuous arguments
• Impulsive stabilization of delay difference equations and its application in Nicholson's blowflies model
• Solving Ordinary Differential Equations I
• ADVANCED IMPULSIVE DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS
• Order stars and stability theorems

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