High order Runge-Kutta methods for impulsive delay differential equations

DOI10.1016/j.amc.2017.05.054zbMath1426.65101OpenAlexW2622143579MaRDI QIDQ1740026

Gui-Lai Zhang

Publication date: 29 April 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.05.054

zbMATH Keywords

convergenceRunge-Kutta methodimpulsive delay differential equation

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for functional-differential equations (65L03)

Related Items

Pell-Lucas collocation method for solving a class of second order nonlinear differential equations with variable delays ⋮ Impulsive continuous Runge-Kutta methods for impulsive delay differential equations ⋮ Stability of linear impulsive neutral delay differential equations with constant coefficients

Cites Work

• The Euler scheme and its convergence for impulsive delay differential equations
• On delay differential equations with impulses
• Exponential boundedness of solutions for impulsive delay differential equations
• Asymptotic stability of a class of impulsive delay differential equations
• Exponential stability of linear delay impulsive differential equations
• Exponential stability of the exact solutions and the numerical solutions for a class of linear impulsive delay differential equations
• Exponential stability for impulsive delay differential equations by Razumikhin method
• Solving Ordinary Differential Equations I
• Razumikhin type stability theorems for impulsive functional differential equations
• Razumikhin-type theorems on exponential stability of impulsive delay systems
• Uniform asymptotic stability of impulsive delay differential equations
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