Nonuniform power instability and Lyapunov sequences

DOI10.1016/J.AMC.2014.09.051zbMath1338.34101arXiv1410.0623OpenAlexW2123530005MaRDI QIDQ297855

Traian Ceauşu, Mihail Megan, Ioan-Lucian Popa

Publication date: 17 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.0623

zbMATH Keywords

Lyapunov sequencesnonuniform power instabilityuniform power instability

Mathematics Subject Classification ID

Additive difference equations (39A10) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (4)

A novel theorem on motion stability ⋮ Nonuniform polynomial dichotomy for noninvertible linear discrete-time systems in Banach spaces ⋮ The equivalence of Datko and Lyapunov properties for \((h, k)\)-trichotomic linear discrete-time systems ⋮ Polynomial expansiveness and admissibility of weighted Lebesgue spaces

Cites Work

• On exponential stability for linear discrete-time systems in Banach spaces
• Stability by Liapunov's direct method. With applications
• Instability results for slowly time varying linear dynamic systems on time scales
• Exponential dichotomy and admissibility of linearized skew-product semiflows defined on a compact positively invariant subset of semiflows
• Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line
• Perron conditions for uniform exponential expansiveness of linear skew-product flows
• A Note on Power Instability of Linear Discrete-time Systems in Banach Spaces
• The dynamical systems approach to differential equations
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