Dichotomy spectra of triangular equations

DOI10.3934/dcds.2016.36.423zbMath1364.39016OpenAlexW2556522540MaRDI QIDQ2515687

Christian Poetzsche

Publication date: 6 August 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016.36.423

zbMATH Keywords

exponential dichotomydichotomy spectrumSacker-Sell spectrumspectral continuitynonautonomous hyperbolicityBohl exponentdiagonal significanceblock triangular equation

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Nonautonomous smooth dynamical systems (37C60) Stability theory for difference equations (39A30)

Related Items (15)

Exponential trichotomy and \((r, p)\)-admissibility for discrete dynamical systems ⋮ Angular Values of Nonautonomous Linear Dynamical Systems: Part II – Reduction Theory and Algorithm ⋮ Continuity and invariance of the Sacker-Sell spectrum ⋮ Transit times and mean ages for nonautonomous and autonomous compartmental systems ⋮ Dichotomy spectrum and almost topological conjugacy on nonautonomus unbounded difference systems ⋮ Proportional Local Assignability of the Dichotomy Spectrum of One-Sided Discrete Time-Varying Linear Systems ⋮ Almost reducibility of linear difference systems from a spectral point of view ⋮ Some relations between Bohl exponents and the exponential dichotomy spectrum ⋮ Strongly Exponentially Separated Linear Difference Equations ⋮ A new metric yielding a richer class of unbounded functions having compact hulls in the shift flow ⋮ A Lyapunov and Sacker-Sell spectral stability theory for one-step methods ⋮ Nonuniform almost reducibility of nonautonomous linear differential equations ⋮ Assignability of dichotomy spectra for discrete time-varying linear control systems ⋮ Angular Values of Nonautonomous and Random Linear Dynamical Systems: Part I---Fundamentals ⋮ Exponential dichotomy for noninvertible linear difference equations: block triangular systems

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