Analytical and numerical treatment of oscillatory mixed differential equations with differentiable delays and advances

DOI10.1016/j.cam.2011.04.041zbMath1227.65061OpenAlexW1993420545MaRDI QIDQ633966

Sandra Pinelas, Neville J. Ford, Md. Abdul Malique, José M. Ferreira, Yubin Yan

Publication date: 2 August 2011

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.2011.04.041

zbMATH Keywords

numerical examplesoscillatory solutionsfunctional differential equationsmixed and delay equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Oscillation theory of functional-differential equations (34K11) Numerical methods for functional-differential equations (65L03)

Related Items

On the stability and behavior of solutions in mixed differential equations with delays and advances, Oscillatory behaviour of linear mixed-type systems, Characteristic functions of differential equations with deviating arguments

Cites Work

• Unnamed Item
• Numerical treatment of oscillatory functional differential equations
• Numerical solution of a nonlinear advance-delay-differential equation from nerve conduction theory
• Introduction to functional differential equations
• Nonoscillation for functional differential equations of mixed type
• Functional differential equations of mixed type: The linear autonomous case
• Hopf bifurcation for functional differential equations of mixed type
• Characterising small solutions in delay differential equations through numerical approximations
• 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