Numerical approximations for a class of differential equations with time- and state-dependent delays

DOI10.1016/0893-9659(95)00079-6zbMath0840.65069OpenAlexW2029022318MaRDI QIDQ1908974

Janos Turi, Ferenc Hartung, István Győri

Publication date: 29 April 1996

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(95)00079-6

zbMATH Keywords

difference equationsfunctional differential equationsstate-dependent delaysEuler's methoddelay differential equations with piecewise constant arguments

Mathematics Subject Classification ID

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

Related Items (17)

Numerical Approximation of Neutral Differential Equations on Infinite Interval ⋮ On numerical approximation using differential equations with piecewise-constant arguments ⋮ Unnamed Item ⋮ Parameter Identification in a Respiratory Control System Model with Delay ⋮ On existence, uniqueness and numerical approximation for neutral equations with state-dependent delays ⋮ Parameter identification in classes of hereditary systems of neutral type ⋮ High-order collocation methods for singular Volterra functional equations of neutral type ⋮ Spurious oscillation in a uniform Euler discretisation of linear stochastic differential equations with vanishing delay ⋮ Numerical analysis of a high order method for state-dependent delay integral equations ⋮ Identification of parameters in delay equations with state-dependent delays ⋮ Approximation of mild solutions of delay differential equations on Banach spaces ⋮ Multiple delay Rössler system-bifurcation and chaos control ⋮ Approximate stability charts for milling processes using semi-discretization ⋮ Stability Analysis of Turning With Periodic Spindle Speed Modulation Via Semidiscretization ⋮ Uniform stability of nonlinear systems with state-dependent delay ⋮ On numerical approximation of a delay differential equation with impulsive self-support condition ⋮ Qualitative theory of compartmental systems with lags.

Cites Work

• Unnamed Item
• On approximation of the solutions of delay differential equations by using piecewise constant arguments
• An alternating direction implicit algorithm for the solution of linear complementarity problems arising from free boundary problems
• Software for the numerical solution of systems of functional differential equations with state-dependent delays
• The Approximate Solution of Volterra Differential Systems with State-Dependent Time Lags
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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