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

DOI10.1080/01630563.2015.1070863zbMath1336.34093OpenAlexW2293442103WikidataQ115303230 ScholiaQ115303230MaRDI QIDQ2795097

Jianfang Gao, Fuyi Song, Tiantian Shi

Publication date: 18 March 2016

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2015.1070863

zbMATH Keywords

oscillationdelay differential equationRunge-Kutta methodsnumerical solution

Mathematics Subject Classification ID

Related Items (2)

Unnamed Item ⋮ Oscillation analysis of numerical solutions for delay differential equations with real coefficients

Cites Work

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• Stability and oscillations of numerical solutions for differential equations with piecewise continuous arguments of alternately advanced and retarded type
• Retarded differential equations with piecewise constant delays
• Advanced differential equations with piecewise constant argument deviations
• Oscillations in systems of differential equations with piecewise constant argument
• Oscillation analysis of numerical solution in the \(\theta\)-methods for equation \(x\prime (t) + ax(t) + a_{1}x([t - 1) = 0\)]
• New contractivity condition in a population model with piecewise constant arguments
• Preservation of oscillations of the Runge-Kutta method for equation \(x'(t)+ax(t)+a_1x([t - 1)=0\)]
• Stability analysis of Runge-Kutta methods for unbounded retarded differential equations with piecewise continuous arguments
• Asymptotic behavior of solutions of differential equations with piecewise constant arguments
• A sufficient condition for the global asymptotic stability of a class of logistic equations with piecewise constant delay
• Stability of Runge--Kutta methods in the numerical solution of equation \(u'(t)=au(t)+a_{0}u([t)\).]
• Stability of Runge-Kutta methods in the numerical solution of equation \(u'(t)=au(t)+a_{0} u([t)+a_{1} u([t-1])\)]
• New results on oscillation for delay differential equations with piecewise constant argument
• Existence of almost periodic solutions for forced perturbed systems with piecewise constant argument
• Stability of \(\theta\)-methods for advanced differential equations with piecewise continuous arguments
• On the reduction principle for differential equations with piecewise constant argument of generalized type

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