Asymptotical stability of Runge-Kutta methods for advanced linear impulsive differential equations with piecewise constant arguments
DOI10.1016/j.amc.2015.02.086zbMath1448.65072OpenAlexW2091845113MaRDI QIDQ1636908
Publication date: 7 June 2018
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.02.086
Padé approximationRunge-Kutta methodsimpulsive differential equationsasymptotical stabilitypiecewise constant arguments
Functional-differential equations with impulses (34K45) Padé approximation (41A21) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
Related Items (2)
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Cites Work
- Retarded differential equations with piecewise constant delays
- Oscillatory and periodic solutions of impulsive differential equations with piecewise constant argument
- Stability of Runge--Kutta methods in the numerical solution of equation \(u'(t)=au(t)+a_{0}u([t)\).]
- Stability of \(\theta\)-methods for advanced differential equations with piecewise continuous arguments
- Solving Ordinary Differential Equations I
- ADVANCED IMPULSIVE DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS
- Order stars and stability theorems
- Oscillation of nonlinear impulsive differential equations with piecewise constant arguments
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