The modified chain method for a class of delay differential equations arising in neural networks

DOI10.1016/j.mcm.2009.12.001zbMath1190.65107OpenAlexW1972183383MaRDI QIDQ984189

B. Krasznai, István Győri, Mihály Pituk

Publication date: 16 July 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2009.12.001

zbMATH Keywords

neural networksuniform approximationdelay equation

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Theoretical approximation of solutions to functional-differential equations (34K07) Numerical methods for functional-differential equations (65L03)

Related Items (9)

Mean, covariance, and effective dimension of stochastic distributed delay dynamics ⋮ Systems of differential equations of higher dimension and delay equations ⋮ On Approximate Solutions to One Class of Nonlinear Differential Equations ⋮ Wavelet collocation methods for solving neutral delay differential equations ⋮ A numerical approach for the bifurcation analysis of nonsmooth delay equations ⋮ Unnamed Item ⋮ Legendre Neural Network for Solving Linear Variable Coefficients Delay Differential-Algebraic Equations with Weak Discontinuities ⋮ Collocation methods based on Gegenbauer and Bernoulli wavelets for solving neutral delay differential equations ⋮ Properties of Solutions to a System of Ordinary Differential Equations of Higher Dimension

Cites Work

• Stability criteria for a nonlinear nonautonomous system with delays
• Two approximation techniques for functional differential equations
• Introduction to functional differential equations
• Remarks on well-posedness theorems for damped second-order systems
• Uniform approximation of a nonlinear delay equation on infinite intervals
• Cellular neural networks with non-linear and delay-type template elements and non-uniform grids
• On the approximate replacement of systems with lag by ordinary dynamical systems
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