A note on a discretization scheme for Volterra integro-differential equations that preserves stability and boundedness

DOI10.1080/10236190601143245zbMath1117.65173OpenAlexW1968491033MaRDI QIDQ3446984

Ronald E. Mickens

Publication date: 27 June 2007

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190601143245

zbMATH Keywords

stabilityboundednessVolterra integro-differential equationsnonstandard finite difference methods

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (3)

Stability analysis and uniform ultimate boundedness control synthesis for a class of nonlinear switched difference systems ⋮ Delay-independent stability conditions for a class of nonlinear difference systems ⋮ A nonstandard Volterra difference equation for the SIS epidemiological model

Cites Work

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• An unconventional symplectic integrator of W. Kahan
• A nonstandard finite-difference scheme for the Lotka--Volterra system
• A note on Mickens' finite-difference scheme for the Lotka-Volterra system
• Nonstandard finite-difference schemes for the Lotka–Volterra systems: generalization of Mickens's method
• Discretization scheme in Volterra integro-differential equations that preserves stability and boundedness
• Volterra integral and differential equations

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