The relation between the existence of bounded solutions of differential equations and the corresponding difference equations

DOI10.1080/10236198.2013.794795zbMath1278.65110OpenAlexW1996350814MaRDI QIDQ2869922

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Publication date: 7 January 2014

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

Full work available at URL: https://doi.org/10.1080/10236198.2013.794795

zbMATH Keywords

exponential stabilityasymptotic stabilitydifferential equationbounded solutiondifference equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Related Items (5)

On the relation between oscillation of solutions of differential equations and corresponding equations on time scales ⋮ The relation between the existence of bounded global solutions of the differential equations and equations on time scales ⋮ Oscillation of solutions of second-order linear differential equations and corresponding difference equations ⋮ Impulsive stochastic BAM neural networks on an invariant under a translation time scale ⋮ Multiple heteroclinic solutions of bilateral difference systems with Laplacian operators

Cites Work

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• Feedback stabilization methods for the numerical solution of ordinary differential equations
• Lyapunov functions and attractors under variable time-step discretization
• Asymptotic behavior of dynamical and control systems under perturbation and discretization
• Attractors under discretizations with variable stepsize
• Attraction Rates, Robustness, and Discretization of Attractors
• Stable Attracting Sets in Dynamical Systems and in Their One-Step Discretizations

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