On the stability in periodic and almost periodic difference systems

DOI10.1016/j.jmaa.2005.04.001zbMath1096.39005OpenAlexW2084964226MaRDI QIDQ819643

Oleksiy A. Ignatyev, Alexander Olegovich Ignatyev

Publication date: 29 March 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.04.001

zbMATH Keywords

asymptotic stabilityperiodic solutionalmost periodic solutionsystem of difference equationsLyapunov's direct method

Mathematics Subject Classification ID

Related Items (13)

A generalization of Barbashin-Krasovski theorem ⋮ On the construction of the Lyapunov function with sign-definite derivative with the help of auxiliary functions with sign-constant derivatives ⋮ Lyapunov function method for systems of difference equations: stability with respect to part of the variables ⋮ Analysis of a set of nonlinear dynamics trajectories: stability of difference equations ⋮ On some properties of solutions of systems of linear difference equations with periodic right-hand sides ⋮ Periodic and almost periodic solutions of functional difference equations with finite delay ⋮ Asymptotic stability and instability criteria for nonautonomous systems ⋮ Homogeneous polynomials as Lyapunov functions in the stability research of solutions of difference equations ⋮ Almost automorphic solutions of non-autonomous difference equations ⋮ Positive almost periodic solutions of nonlinear discrete systems with finite delay ⋮ A weaker criterion of asymptotic stability ⋮ Existence of periodic and almost periodic solutions of abstract retarded functional difference equations in phase spaces ⋮ Almost automorphic solutions of difference equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Theory of difference equations: Numerical methods and applications
• Stability theory by Liapunov's direct method
• Poincaré types solutions of systems of difference equations
• The converse of the theorem on stability by the first approximation for difference equations.
• Oscillatory Second Order Linear Difference Equations and Riccati Equations
• Global attractivity in a delay difference equation
• Method of Lyapunov functions in problems of stability of solutions of systems of differential equations with impulse action
• Stability and convergence of boundary value methods for solving ODE
• Discrete qualitative inequalities and applications
• On Necessary and Sufficient Conditions for the Asymptotic Stability of Impulsive Systems
• Asymptotic behavior of nonlinear difference systems
• Some remarks about stability of nonlinear discrete-time control systems

This page was built for publication: On the stability in periodic and almost periodic difference systems