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

DOI10.1016/j.amc.2006.07.119zbMath1118.65080OpenAlexW2061588896MaRDI QIDQ876633

Jianfang Gao, Zhanwen Yang, Ming-Zhu Liu

Publication date: 26 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.119

zbMATH Keywords

numerical experimentslinear delay differential equationsinitial value problemsfunctional differential equationspreservation of oscillatory behaviorTheta methods

Mathematics Subject Classification ID

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Cites Work

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• Linearized oscillation for non-linear systems of delay differential equations
• New oscillation criteria for first order nonlinear neutral delay differential equations
• Oscillation criteria for second-order delay differential equations.
• Oscillatory and nonoscillatory delay equations with piecewise constant argument
• 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
• Oscillation and linearized oscillation of a logistic equation with several delays
• Stability of \(\theta\)-methods for advanced differential equations with piecewise continuous arguments
• Oscillatory and Periodic Solutions of Delay Differential Equations with Piecewise Constant Argument

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