Continuity and invariance of the Sacker-Sell spectrum

DOI10.1007/s10884-015-9515-1zbMath1366.39013OpenAlexW2273077888MaRDI QIDQ300370

Evamaria Russ, Christian Poetzsche

Publication date: 27 June 2016

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-015-9515-1

zbMATH Keywords

robust stabilityexponential dichotomydifference equationdichotomy spectrumweighted shift operatornonautonomous hyperbolicity

Mathematics Subject Classification ID

Robust stability (93D09) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Qualitative investigation and simulation of ordinary differential equation models (34C60) Stability theory for smooth dynamical systems (37C75) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Stability theory for difference equations (39A30)

Related Items

Necessary and sufficient conditions for assignability of dichotomy spectra of continuous time-varying linear systems ⋮ Admissibility criteria for nonuniform dichotomic behavior of nonautonomous systems on the whole line ⋮ The Bohl spectrum for linear nonautonomous differential equations ⋮ Continuity of the Sacker–Sell spectrum on the half line ⋮ Some relations between Bohl exponents and the exponential dichotomy spectrum ⋮ A spectral dichotomy version of the nonautonomous Markus-Yamabe conjecture

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