Dissipativity of the backward Euler method for nonlinear Volterra functional differential equations in Banach space

DOI10.1186/s13662-015-0469-8zbMath1422.65133OpenAlexW1991459511WikidataQ59435383 ScholiaQ59435383MaRDI QIDQ1794999

Si-qing Gan

Publication date: 16 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0469-8

zbMATH Keywords

dissipativityBanach spacebackward Euler methodVolterra functional-differential equation

Mathematics Subject Classification ID

Related Items (4)

Optimal Convergence Rate of $\theta$--Maruyama Method for Stochastic Volterra Integro-Differential Equations with Riemann--Liouville Fractional Brownian Motion ⋮ Dissipativity of Runge-Kutta methods for a class of nonlinear functional-integro-differential equations ⋮ Dissipativity of one-leg methods for a class of nonlinear functional-integro-differential equations ⋮ Analytical and numerical dissipativity of neutral functional differential equations

Cites Work

• Dissipativity of Runge-Kutta methods in Hilbert spaces
• Dissipativity of Volterra functional differential equations
• Generalized Halanay inequalities for dissipativity of Volterra functional differential equations
• Dissipativity of one-leg methods for dynamical systems with delays
• Dissipativity of \(\theta\)-methods for nonlinear Volterra delay-integro-differential equations
• Dissipativity of linear \(\theta \)-methods for integro-differential equations
• Dissipativity of multistep Runge-Kutta methods for dynamical systems with delays
• Asymptotic stability, contractivity and dissipativity of one-leg \(\theta \)-method for non-autonomous delay functional differential equations
• Stability analysis of solutions to nonlinear stiff Volterra functional differential equations in Banach spaces
• Global Dissipativity for A-Stable Methods
• Model Problems in Numerical Stability Theory for Initial Value Problems
• 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
• Unnamed Item
• Unnamed Item

This page was built for publication: Dissipativity of the backward Euler method for nonlinear Volterra functional differential equations in Banach space