Dissipativity of delay functional differential equations with bounded lag

DOI10.1016/j.jmaa.2009.02.024zbMath1176.34074OpenAlexW2033933081MaRDI QIDQ1022981

Ni Guo, Aili Shen, Hong-Jiong Tian

Publication date: 10 June 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.02.024

zbMATH Keywords

dissipativitydelay functional differential equationbounded lag

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) General theory of functional-differential equations (34K05)

Related Items (10)

Dissipativity of variable-stepsize Runge-Kutta methods for nonlinear functional differential equations with application to Nicholson's blowflies models ⋮ Dissipativity of extended Pouzet–Runge–Kutta methods for neutral delay integro-differential equations ⋮ Dissipativity of θ-methods for a class of nonlinear neutral delay integro-differential equations ⋮ Dissipativity of multistep Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations ⋮ Delay dependent dissipativity for a class of nonlinear neutral delay differential equations ⋮ Global dissipativity on uncertain discrete-time neural networks with time-varying delays ⋮ Numerical dissipativity of neutral integro-differential equations with delay ⋮ Dissipativity of one-leg methods for neutral delay integro-differential equations ⋮ Delay-dependent dissipativity of nonlinear delay differential equations ⋮ Exact and numerical stability analysis of reaction-diffusion equations with distributed delays

Cites Work

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• Strong contractivity properties of numerical methods for ordinary and delay differential equations
• Introduction to functional differential equations
• Dissipativity of one-leg methods for dynamical systems with delays
• Numerical dissipativity of multistep methods for delay differential equations
• Dissipativity of linear \(\theta \)-methods for integro-differential equations
• Asymptotic stability, contractivity and dissipativity of one-leg \(\theta \)-method for non-autonomous delay 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
• Dissipativity of Runge-Kutta methods for dynamical systems with delays

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