Discretization scheme in Volterra integro-differential equations that preserves stability and boundedness

DOI10.1080/10236190600703189zbMath1108.65127OpenAlexW2161133200MaRDI QIDQ5489339

Eric R. Kaufmann, Youssef N. Raffoul

Publication date: 25 September 2006

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

Full work available at URL: https://doi.org/10.1080/10236190600703189

zbMATH Keywords

exponential stabilityuniform asymptotic stabilitybounded solutionsVolterra integro-differential equationdiscretization schemediscrete Volterra equationpreserving stability

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10)

Related Items (4)

Stability analysis and uniform ultimate boundedness control synthesis for a class of nonlinear switched difference systems ⋮ A note on a discretization scheme for Volterra integro-differential equations that preserves stability and boundedness ⋮ Delay-independent stability conditions for a class of nonlinear difference systems ⋮ On the asymptotic stability problem for solutions of difference switched systems

Cites Work

• Liapunov functionals of convolution type
• Stability and periodic solutions of ordinary and functional differential equations
• Periodicity and stability of linear Volterra difference systems
• Uniform asymptotic stability in nonlinear Volterra discrete systems
• Boundedness and Periodicity of Volterra Systems of Difference Equations
• Boundedness and Stability in Nonlinear Discrete Systems With Nonlinear Perturbation
• Volterra integral and differential equations

This page was built for publication: Discretization scheme in Volterra integro-differential equations that preserves stability and boundedness