An extension of a theorem of R. Datko to the case of (non)uniform exponential stability of linear skew-product semiflows

DOI10.1016/j.jmaa.2015.01.014zbMath1347.34092OpenAlexW2035043025MaRDI QIDQ2512698

Ciprian Preda, Florin Bătăran, Petre Preda

Publication date: 30 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.01.014

zbMATH Keywords

Datko's theoremlinear skew-product semiflow(semi)flowcocycle (over a semiflow)

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Stability of solutions to ordinary differential equations (34D20) Linear differential equations in abstract spaces (34G10)

Related Items (8)

Nonuniform exponential dichotomy for linear skew-product semiflows over semiflows ⋮ A version of a theorem of R. Datko for stability in average ⋮ Extending some results of L. Barreira and C. Valls to the case of linear skew-product semiflows ⋮ Strong nonuniform behaviour: a Datko type characterization ⋮ Lyapunov type equation for discrete exponential trichotomies ⋮ A Rolewicz-type characterization of nonuniform behaviour ⋮ Barbashin-type conditions for exponential stability of linear cocycles ⋮ Datko-Pazy conditions for nonuniform exponential stability

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