Uniform stability of periodic discrete systems in Banach spaces

DOI10.1080/10236190500331271zbMath1094.47040OpenAlexW2034960119MaRDI QIDQ5717580

Anthony Sofo, Pietro Cerone, Constantin Buşe, Sever Silvestru Dragomir

Publication date: 10 January 2006

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190500331271

zbMATH Keywords

uniform stabilityspectral radiusdiscrete semigroupsperiodic discrete-time systemsdiscrete evolution families

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Groups and semigroups of linear operators (47D03)

Related Items (10)

Asymptotic stability and uniform boundedness with respect to parameters for discrete non-autonomous periodic systems ⋮ Asymptotic behavior of linear and almost periodic discrete evolution systems on Banach space \(\mathcal {AAP}_0^r(\mathbb {Z}_+,\mathcal {W})\) ⋮ New criteria for exponential expansiveness of variational difference equations ⋮ Exponential stability and uniform boundedness of solutions for nonautonomous periodic abstract Cauchy problems. An evolution semigroup approach ⋮ On uniform exponential stability and exact admissibility of discrete semigroups ⋮ Unnamed Item ⋮ Discrete integral conditions for weak trajectories and asymptotic stability for operators in Banach spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An inequality concerning the growth bound of a discrete evolution family on a complex Banach space

Cites Work

• On a theorem of Gearhart
• Weak \(L^ p\)-stability of a linear semigroup on a Hilbert space implies exponential stability
• Individual stability of \(C_0\)-semigroups with uniformly bounded local resolvent
• On stability of $C_0$-semigroups
• On the Spectrum of C 0 -Semigroups
• Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space

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