scientific article; zbMATH DE number 7041472

zbMath1408.39012MaRDI QIDQ4629001

Traian Ceauşu, Mărioara Lăpădat, Mihail Megan

Publication date: 25 March 2019

Full work available at URL: http://bmathaa.org/repository/docs/BMAA8-4-1.pdf

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zbMATH Keywords

Lyapunov functionslinear discrete-time systemsdichotomy

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Stability theory for difference equations (39A30)

Cites Work

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• On the dichotomic behavior of discrete dynamical systems on the half-line
• Discrete \((h,k)\)-dichotomy and remarks on the boundedness of the projections
• Nonuniform \((\mu, \nu)\)-dichotomies and local dynamics of difference equations
• Dichotomies in terms of Lyapunov functions for linear difference equations
• Robustness of discrete dynamics via Lyapunov sequences
• Discrete dichotomies
• On \((h,k)\)-dichotomies for nonautonomous linear difference equations in Banach spaces
• Lyapunov sequences for exponential dichotomies
• Dichotomies for linear difference equations
• Quadratic Lyapunov sequences and arbitrary growth rates
• Exponential dichotomies for linear discrete-time systems in Banach spaces
• Dichotomy and trichotomy of difference equations

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