Asymptotic behaviors of non-autonomous impulsive difference equation with delays

DOI10.1016/j.apm.2011.01.012zbMath1221.39023OpenAlexW2060367313MaRDI QIDQ638872

Bing Li, Qian-Kun Song

Publication date: 16 September 2011

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.01.012

zbMATH Keywords

exponential stabilitydifference equationimpulsiveattracting set

Mathematics Subject Classification ID

Stability theory for difference equations (39A30)

Related Items (10)

Ultimate boundedness of impulsive fractional differential equations ⋮ Ultimate boundedness theorems for impulsive stochastic differential systems with Markovian switching ⋮ Stability analysis for impulsive stochastic delay differential equations with Markovian switching ⋮ Periodic boundary value problems for first-order impulsive difference equations with time delay ⋮ Observable state space realizations for multivariable systems ⋮ Global exponential stability of delay difference equations with delayed impulses ⋮ Attracting sets of discrete-time Markovian jump delay systems with stochastic disturbances via impulsive control ⋮ Anti-periodic boundary value problem for first order impulsive delay difference equations ⋮ Exponential stability of a class of nonlinear difference equations in Banach spaces ⋮ A novel approach to exponential stability of nonlinear non-autonomous difference equations with variable delays

Cites Work

• An extension of Sharkovsky's theorem to periodic difference equations
• Invariant and attracting sets of impulsive delay difference equations with continuous variables
• Global exponential stability of impulsive delay difference equation
• On asymptotic stability of discrete-time non-autonomous delayed Hopfield neural networks
• Asymptotic stability of impulsive high-order Hopfield type neural networks
• New discrete type inequalities and global stability of nonlinear difference equations
• Discrete Halanay-type inequalities and applications.
• On the asymptotic stability for functional differential equations by Lyapunov functionals
• Invariant and attracting sets of Volterra difference equations with delays
• The necessary and sufficient conditions of existence of periodic solutions of nonautonomous difference equations
• Domain of attraction of nonlinear discrete systems with delays
• Periodic orbits in periodic discrete dynamics
• Mean square exponential stability of impulsive stochastic difference equations
• Matrix Analysis

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