Dissipativity of Volterra functional differential equations

DOI10.1016/j.jmaa.2005.12.031zbMath1110.34056OpenAlexW2046719344MaRDI QIDQ855673

Liping Wen, Shou-fu Li

Publication date: 7 December 2006

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.2005.12.031

zbMATH Keywords

integro-differential equationsdissipativitydelay differential equationsVolterra functional-differential equations

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Functional-differential equations in abstract spaces (34K30)

Related Items (18)

A new generalization of Halanay-type inequality and its applications ⋮ Uniform ultimate boundedness of numerical solutions to nonlinear neutral delay differential equations ⋮ Dissipativity and asymptotic stability of nonlinear neutral delay integro-differential equations ⋮ Dissipativity of variable-stepsize Runge-Kutta methods for nonlinear functional differential equations with application to Nicholson's blowflies models ⋮ Dissipativity of Runge-Kutta methods for Volterra functional differential equations ⋮ Dissipativity and contractivity of the second-order averaged \(\mathrm{L}1\) method for fractional Volterra functional differential equations ⋮ Dissipativity of Runge-Kutta methods for a class of nonlinear functional-integro-differential equations ⋮ Generalized Halanay inequalities for dissipativity of Volterra functional differential equations ⋮ Dissipativity of \(\theta \)-methods for a class of nonlinear neutral delay differential equations ⋮ Dissipativity of θ-methods for a class of nonlinear neutral delay integro-differential equations ⋮ Dissipativity of one-leg methods for a class of nonlinear functional-integro-differential equations ⋮ Delay dependent dissipativity for a class of nonlinear neutral delay differential equations ⋮ Long time numerical behaviors of fractional pantograph equations ⋮ Numerical dissipativity of neutral integro-differential equations with delay ⋮ Dissipativity of one-leg methods for neutral delay integro-differential equations ⋮ Dissipativity of the backward Euler method for nonlinear Volterra functional differential equations in Banach space ⋮ Dissipativity of Runge-Kutta methods for neutral delay integro-differential equations ⋮ Analytical and numerical dissipativity of neutral functional differential equations

Cites Work

• Dissipativity of Runge-Kutta methods in Hilbert spaces
• Infinite-dimensional dynamical systems in mechanics and physics
• Dissipativity of one-leg methods for dynamical systems with delays
• Dissipativity of multistep Runge-Kutta methods for dynamical systems with delays
• Global Dissipativity for A-Stable Methods
• Runge–Kutta Methods for Dissipative and Gradient Dynamical 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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