Two approximation techniques for functional differential equations

DOI10.1016/0898-1221(88)90180-0zbMath0656.65073OpenAlexW2073088235MaRDI QIDQ1110279

István Győri

Publication date: 1988

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(88)90180-0

zbMATH Keywords

functional differential equationsepidemic modeldelay-differential equationsbiological modelsbiological modellingretarded argumentchain method

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Numerical methods for initial value problems involving ordinary differential equations (65L05) General theory of functional-differential equations (34K05)

Related Items (11)

Numerical approximation of the solutions of delay differential equations on an infinite interval using piecewise constant arguments ⋮ Uniform approximation of a nonlinear delay equation on infinite intervals ⋮ Mean, covariance, and effective dimension of stochastic distributed delay dynamics ⋮ Systems of differential equations of higher dimension and delay equations ⋮ Stability analysis of a single neuron model with delay ⋮ On Approximate Solutions to One Class of Nonlinear Differential Equations ⋮ Unnamed Item ⋮ Stabilizing feedback design for time delayed polynomial systems using kinetic realizations ⋮ Properties of Solutions to a System of Ordinary Differential Equations of Higher Dimension ⋮ The modified chain method for a class of delay differential equations arising in neural networks ⋮ On One System of Ordinary Differential Equations of Large Dimension and a Delay Equation

Cites Work

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• Remarks on well-posedness theorems for damped second-order systems
• Some equations modelling growth processes and gonorrhea epidemics
• Connections between compartmental systems with pipes and integro-differential equations
• Some results on nonlinear compartmental systems
• On the approximate replacement of systems with lag by ordinary dynamical systems

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