Asymptotic behavior of individual orbits of discrete systems

DOI10.1090/S0002-9939-09-09871-2zbMath1170.47004arXiv0811.0544MaRDI QIDQ3395575

Nguyen Van Minh

Publication date: 11 September 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.0544

zbMATH Keywords

stabilitydiscrete systemasymptotically almost periodicKatznelson-Tzafriri theoremindividual orbit

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Ergodic theory of linear operators (47A35) Stability theory for difference equations (39A30)

Related Items (10)

A Spectral Theory of Polynomially Bounded Sequences and Applications to the Asymptotic Behavior of Discrete Systems ⋮ A Massera theorem for asymptotic periodic solutions of periodic evolution equations ⋮ Existence and boundedness of solutions for nonlinear Volterra difference equations in Banach spaces ⋮ On asymptotic periodic solutions of fractional differential equations and applications ⋮ Almost periodic solutions of periodic second order linear evolution equations ⋮ Asymptotic behavior of solutions of periodic linear partial functional differential equations on the half line ⋮ Almost Periodic Solutions of Periodic Linear Partial Functional Differential Equations ⋮ On the asymptotic behaviour of Volterra difference equations ⋮ Asymptotic Behavior of Linear Almost Periodic Differential Equations ⋮ A Katznelson-Tzafriri type theorem for difference equations and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Theorems of Katznelson-Tzafriri type for contractions
• A spectral criterion for the almost periodicity of one-parameter semigroups
• A spectral theory of continuous functions and the Loomis-Arendt-Batty-Vu theory on the asymptotic behavior of solutions of evolution equations
• On power bounded operators
• Theorems of Katznelson-Tzafriri type for semigroups of operators
• The asymptotic behaviour of semigroups of linear operators
• The Banach algebra generated by a \(C_{0}\)-semigroup
• Power-dominated elements in a Banach algebra
• Tauberian Theorems and Stability of One-Parameter Semigroups
• A Short Proof of the Y. Katznelson's and L. Tzafriri's Theorem
• Vector-Valued Tauberian Theorems and Asymptotic Behavior of Linear Volterra Equations
• Asymptotically Almost Periodic Solutions of Inhomogeneous Cauchy Problems on The Half-Line
• Local spectra and individual stability of uniformly bounded $C_0$-semigroups
• POWER-BOUNDED OPERATORS AND RELATED NORM ESTIMATES
• Ergodicity and stability of orbits of unbounded semigroup representations
• Katznelson-Tzafriri type theorems for individual solutions of evolution equations
• Stability and almost periodicity of solutions of ill-posed abstract Cauchy problems

This page was built for publication: Asymptotic behavior of individual orbits of discrete systems