Invariant and attracting sets of impulsive delay difference equations with continuous variables

DOI10.1016/j.camwa.2007.10.020zbMath1142.39312OpenAlexW1996095049MaRDI QIDQ945177

Wei Zhu

Publication date: 11 September 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.10.020

zbMATH Keywords

delaydecomposition approachimpulsivedifference inequalityinvariant and attracting sets

Mathematics Subject Classification ID

Functional equations for real functions (39B22)

Related Items

Asymptotic behavior of impulsive non-autonomous delay difference equations with continuous variables, Set-stabilization of discrete chaotic systems via impulsive control, Laguerre polynomial approach for solving linear delay difference equations, Asymptotic behaviors of non-autonomous impulsive difference equation with delays, Difference inequality for stability of impulsive difference equations with distributed delays, Periodic boundary value problems for first-order impulsive difference equations with time delay, The attracting set for impulsive stochastic difference equations with continuous time, Robust exponential stability of uncertain impulsive delay difference equations with continuous time, Asymptotic behavior of impulsive infinite delay difference equations with continuous variables

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Oscillation of solutions of impulsive neutral difference equations with continuous variable
• Global exponential stability of impulsive delay difference equation
• Attracting and invariant sets for a class of impulsive functional differential equations
• Positively invariant closed sets for systems of delay-differential equations
• On delay differential equations with impulses
• Oscillation for system of delay difference equations
• Oscillatory properties of linear difference equations with continuous time
• Oscillation theorems of second-order nonlinear neutral delay difference equations with impulses.
• Oscillation criteria for a class of neutral difference equations with continuous variable.
• Asymptotic behavior of nonlinear difference equations with delays
• About Lyapunov functionals construction for difference equations with continuous time.
• A decomposition approach to analysis of competitive-cooperative neural networks with delay
• Invariant and attracting sets of Volterra difference equations with delays
• A note on oscillation of second-order nonlinear difference equation with continuous variable.
• Construction of Lyapunov functionals for stochastic difference equations with continuous time
• Stability of nonlinear difference equations with pulse actions: a comparison method
• Monotone iterative technique for first order impulsive difference equations with periodic boundary conditions
• Attractors of continuous difference equations
• An asymptotic result for some delay difference equations with continuous variable
• Exponential stability of the solutions of the initial value problem for systems with an impulse effect
• Comparison and oscillation results for difference equations with continuous variable
• Oscillations of a class of difference equations with continuous arguments