Asymptotic stability, contractivity and dissipativity of one-leg \(\theta \)-method for non-autonomous delay functional differential equations

DOI10.1016/j.amc.2008.04.045zbMath1160.65042OpenAlexW2041414065MaRDI QIDQ2518726

Ni Guo, Hong-Jiong Tian

Publication date: 16 January 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.04.045

zbMATH Keywords

numerical examplesdissipativityasymptotic stabilitycontractivitydelay functional differential equationsone-leg theta methods

Mathematics Subject Classification ID

Related Items (6)

Dissipativity of variable-stepsize Runge-Kutta methods for nonlinear functional differential equations with application to Nicholson's blowflies models ⋮ Observations on evolutionary models with (or without) time lag, and on problematical paradigms ⋮ Development and application of Halanay-type theory: Evolutionary differential and difference equations with time lag ⋮ Dissipativity of the backward Euler method for nonlinear Volterra functional differential equations in Banach space ⋮ Dissipativity of delay functional differential equations with bounded lag ⋮ Dissipativity ofθ-methods for a class of advection–reaction–diffusion equations with both fixed and distributed delays

Uses Software

• RODAS

Cites Work

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• A sufficient condition for GPN-stability for delay differential equations
• Asymptotic stability analysis of \(\theta\)-methods for functional differential equations
• Stability in linear multistep methods for pure delay equations
• Stability properties of numerical methods for solving delay differential equations
• P-stability properties of Runge-Kutta methods for delay differential equations
• Stability of numerical methods for delay differential equations
• Strong contractivity properties of numerical methods for ordinary and delay differential equations
• Contractivity of Runge-Kutta methods with respect to forcing terms
• Ordinary and delay differential equations
• Introduction to functional differential equations
• Contractivity of continuous Runge-Kutta methods for delay differential equations
• Asymptotic stability analysis of Runge-Kutta methods for nonlinear systems of delay differential equations
• Numerical dissipativity of multistep methods for delay differential equations
• Dissipativity of linear \(\theta \)-methods for integro-differential equations
• Stability analysis of Runge-Kutta methods for systems of delay differential equations
• Solving Ordinary Differential Equations I
• The Stability of the θ-methods in the Numerical Solution of Delay Differential Equations
• The Stability of Difference Formulas for Delay Differential Equations
• Special stability problems for functional differential equations
• Runge–Kutta Methods for Dissipative and Gradient Dynamical Systems
• A Behavioral Approach To Delay-Differential Systems
• NUMERICAL AND ANALYTIC DISSIPATIVITY OF THE θ-METHOD FOR DELAY DIFFERENTIAL EQUATIONS WITH A BOUNDED VARIABLE LAG
• The Numerical Stability of Linear Multistep Methods for Delay Differential Equations with Many Delays
• A Note on Unconditional Maximum Norm Contractivity of Diagonally Split Runge–Kutta Methods
• Dissipativity of Runge-Kutta methods for dynamical systems with delays

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