Preservation of Oscillations in the Runge-Kutta Method for a Type of Advanced Differential Equation (Q2795097)

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scientific article; zbMATH DE number 6558466

Language	Label	Description	Also known as
English	Preservation of Oscillations in the Runge-Kutta Method for a Type of Advanced Differential Equation	scientific article; zbMATH DE number 6558466

Statements

scholarly article

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Preservation of Oscillations in the Runge-Kutta Method for a Type of Advanced Differential Equation (English)

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Numerical Functional Analysis and Optimization

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publication date

18 March 2016

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zbMATH Keywords

delay differential equation

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numerical solution

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oscillation

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Runge-Kutta methods

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MaRDI profile type

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full work available at URL

https://doi.org/10.1080/01630563.2015.1070863

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Advanced differential equations with piecewise constant argument deviations

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Retarded differential equations with piecewise constant delays

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Oscillations in systems of differential equations with piecewise constant argument

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Existence of almost periodic solutions for forced perturbed systems with piecewise constant argument

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New contractivity condition in a population model with piecewise constant arguments

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On the reduction principle for differential equations with piecewise constant argument of generalized type

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New results on oscillation for delay differential equations with piecewise constant argument

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Asymptotic behavior of solutions of differential equations with piecewise constant arguments

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A sufficient condition for the global asymptotic stability of a class of logistic equations with piecewise constant delay

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Stability analysis of Runge-Kutta methods for unbounded retarded differential equations with piecewise continuous arguments

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Stability of Runge--Kutta methods in the numerical solution of equation \(u'(t)=au(t)+a_{0}u([t])\).

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Stability of \(\theta\)-methods for advanced differential equations with piecewise continuous arguments

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Oscillation analysis of numerical solution in the \(\theta\)-methods for equation \(x\prime (t) + ax(t) + a_{1}x([t - 1]) = 0\)

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Preservation of oscillations of the Runge-Kutta method for equation \(x'(t)+ax(t)+a_1x([t - 1])=0\)

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Stability and oscillations of numerical solutions for differential equations with piecewise continuous arguments of alternately advanced and retarded type

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Stability of Runge-Kutta methods in the numerical solution of equation \(u'(t)=au(t)+a_{0} u([t])+a_{1} u([t-1])\)

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Identifiers

zbMATH Open document ID

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10.1080/01630563.2015.1070863

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2795097

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