Asymptotic behavior of solutions of perturbed linear difference systems

DOI10.1016/j.laa.2004.08.013zbMath1067.39015OpenAlexW2011834143MaRDI QIDQ1765922

Guojing Ren, Yi Wang, Yuming Shi

Publication date: 23 February 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.08.013

zbMATH Keywords

asymptotic behaviorperturbationgrowth conditiondichotomy conditionlinear difference systemHartman-Wintner theorem

Mathematics Subject Classification ID

Related Items (7)

On asymptotic summations of almost diagonal difference systems and their applications ⋮ Boundedness of solutions of difference systems with delays ⋮ Computation of solutions to linear difference and differential equations with a prescribed asymptotic behavior ⋮ Asymptotic diagonalization of matrix systems ⋮ Asymptotic behavior of a planar dynamic system ⋮ A Hartman–Wintner theorem for dynamic equations on time scales ⋮ Asymptotic behaviour of dynamic systems on time scales†

Cites Work

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• On the asymptotic integration of linear differential systems
• A unified theory of asymptotic integration
• The asymptotic nature of solutions of linear systems of differential equations
• Asymptotic behavior of dynamic equations ontime scales
• Matrix Analysis
• Asymptotic Representation of Solutions of Perturbed Systems of Linear Difference Equations
• Asymptotic Behavior of Solutions of Ordinary Difference Equations
• Asymptotic Integrations of Linear Differential Equations

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