Numerical treatment of oscillatory functional differential equations

DOI10.1016/J.CAM.2010.01.035zbMath1191.65083OpenAlexW2099808439MaRDI QIDQ977395

Neville J. Ford, Md. Abdul Malique, Yubin Yan

Publication date: 22 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.cam.2010.01.035

zbMATH Keywords

numerical examplesoscillatory solutionsdelay equationsfunctional differential equationslinear \(\vartheta\)-methods

Mathematics Subject Classification ID

Oscillation theory of functional-differential equations (34K11) Numerical methods for functional-differential equations (65L03)

Related Items (2)

On the stability and behavior of solutions in mixed differential equations with delays and advances ⋮ Analytical and numerical treatment of oscillatory mixed differential equations with differentiable delays and advances

Cites Work

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• Introduction to functional differential equations
• Oscillation in linear functional differential systems
• Nonoscillation for functional differential equations of mixed type
• Oscillatory behaviour in functional differential systems of neutral type
• How do numerical methods perform for delay differential equations undergoing a Hopf bifurcation?
• Characterising small solutions in delay differential equations through numerical approximations
• Delay equations. Functional-, complex-, and nonlinear analysis
• The use of boundary locus plots in the identification of bifurcation points in numerical approximation of delay differential equations
• Solving Ordinary Differential Equations I
• Some Applications of the Boundary-Locus Method and the Method of D-Partitions
• On Stability of LMS Methods and Characteristic Roots of Delay Differential Equations
• NUMERICAL INVESTIGATION OF D-BIFURCATIONS FOR A STOCHASTIC DELAY LOGISTIC EQUATION
• Oscillations of differential-difference systems of neutral type

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