On the asymptotic behaviour of Volterra difference equations

DOI10.1080/10236198.2012.744004zbMath1320.39020arXiv1010.5454OpenAlexW2071757170MaRDI QIDQ2846809

Nguyen Van Minh

Publication date: 3 September 2013

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

Full work available at URL: https://arxiv.org/abs/1010.5454

zbMATH Keywords

stabilityinstabilityasymptotic almost periodicityVolterra equationconvolution typeKatznelson-Tzafriri theorem

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Partial difference equations (39A14) Stability theory for difference equations (39A30)

Related Items (3)

A Spectral Theory of Polynomially Bounded Sequences and Applications to the Asymptotic Behavior of Discrete Systems ⋮ Existence and boundedness of solutions for nonlinear Volterra difference equations in Banach spaces ⋮ Maximal ℓ_p-regularity for discrete time Volterra equations with delay

Cites Work

• Linearized stability analysis of discrete Volterra equations
• Theorems of Katznelson-Tzafriri type for contractions
• Periodic and almost periodic solutions of nonlinear discrete Volterra equations with unbounded delay
• Circular spectrum and bounded solutions of periodic evolution equations
• On power bounded operators
• Periodicity and stability of linear Volterra difference systems
• Periodic solutions of discrete Volterra equations.
• The discrete Hille-Yosida space and the asymptotic behaviour of individual orbits of linear operators
• Almost periodic solutions of discrete Volterra equations
• Boundedness and almost periodicity in dynamical systems
• Asymptotic behavior of individual orbits of discrete systems
• Vector-Valued Tauberian Theorems and Asymptotic Behavior of Linear Volterra Equations
• Asymptotically Almost Periodic Solutions of Inhomogeneous Cauchy Problems on The Half-Line
• Asymptotic stability versus exponential stability in linear volterra difference equations of convolution type
• 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

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