On the exponential stability of discrete semigroups

DOI10.1007/s12346-014-0124-xzbMath1336.47047OpenAlexW2085772719MaRDI QIDQ2342881

Ihsan Ullah Khan, Faiz Muhammad Khan, Akbar Zada, Nisar Ahmad Rather

Publication date: 29 April 2015

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-014-0124-x

zbMATH Keywords

exponential stabilitydiscrete semigroupsperiodic sequences

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Discrete version of topics in analysis (39A12) Banach sequence spaces (46B45)

Related Items

Connections between Hyers-Ulam stability and uniform exponential stability of discrete evolution families of bounded linear operators over Banach spaces ⋮ Asymptotic behavior of linear and almost periodic discrete evolution systems on Banach space \(\mathcal {AAP}_0^r(\mathbb {Z}_+,\mathcal {W})\) ⋮ Kallman-Rota type inequality for discrete evolution families of bounded linear operators ⋮ Hyers-Ulam stability of non-autonomous systems in terms of boundedness of Cauchy problems ⋮ Asymptotic behavior of discrete semigroups of bounded linear operators over Banach spaces ⋮ Unnamed Item

Cites Work

• The asymptotic behaviour of semigroups of linear operators
• Individual stability of \(C_0\)-semigroups with uniformly bounded local resolvent
• On stability of $C_0$-semigroups
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