Solving neutral delay differential equations with state-dependent delays

DOI10.1016/j.cam.2008.04.015zbMath1166.65034OpenAlexW1987026304MaRDI QIDQ1025869

Alfredo Bellen, Nicola Guglielmi

Publication date: 23 June 2009

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.2008.04.015

zbMATH Keywords

generalized solutionsperiodic orbitssingular perturbationCauchy problemnumerical examplesbifurcationneutral delay differential equationsdiscontinuous right-hand sidebreaking points

Mathematics Subject Classification ID

Related Items (15)

Numerical Solution for Neutral Delay Differential Equation of Constant or Proportional Type Using Hybrid Block Method ⋮ Stability inequalities and numerical solution for neutral Volterra delay integro-differential equation ⋮ An efficient IMEX method for nonlinear functional differential equations with state-dependent delay ⋮ A fixed point approach to simulation of functional differential equations with a delayed argument ⋮ A novel approach for the stability inequalities for high-order Volterra delay integro-differential equation ⋮ Limiting the oscillations in queues with delayed information through a novel type of delay announcement ⋮ Dynamic analysis of nonlinear impulsive neutral nonautonomous differential equations with delays ⋮ Application of the hybrid functions to solve neutral delay functional differential equations ⋮ Unnamed Item ⋮ Second order compact difference scheme for time fractional sub-diffusion fourth-order neutral delay differential equations ⋮ Numerical and analytical investigations for neutral delay fractional damped diffusion-wave equation based on the stabilized interpolating element free Galerkin (IEFG) method ⋮ Stability and Bifurcation in a State-Dependent Delayed Predator–Prey System ⋮ Solutions of the Wheeler-Feynman equations with discontinuous velocities ⋮ Unnamed Item ⋮ On a step method and a propagation of discontinuity

Uses Software

• RODAS
• RADAR5

Cites Work

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• Periodic Solutions of the Wave Equation with a Nonlinear Interface Condition
• Differential equations with discontinuous right-hand side
• Existence and Continuous Dependence for a Class of Nonlinear Neutral- Differential Equations
• Implementing Radau IIA methods for stiff delay differential equations

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