New characterizations of exponential dichotomy and exponential stability of linear difference equations

DOI10.1080/00423110500211947zbMath1084.39012OpenAlexW2048087920MaRDI QIDQ5704462

Pham Huu Anh Ngoc, Toshiki Naito

Publication date: 15 November 2005

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

Full work available at URL: https://doi.org/10.1080/00423110500211947

zbMATH Keywords

exponential stabilityexponential dichotomylinear difference equationdiscrete evolution family

Mathematics Subject Classification ID

Related Items (12)

Bohl–Perron theorem for random dynamical systems ⋮ Bohl–Perron-type stability theorems for linear difference equations with infinite delay ⋮ On stability of discrete dynamical systems: from global methods to ergodic theory approaches ⋮ Uniform dichotomy and exponential dichotomy of evolution families on the half-line ⋮ A CHARACTERIZATION OF GENERALIZED EXPONENTIAL DICHOTOMY ⋮ Uniform exponential stability of first-order dynamic equations with several delays ⋮ Approaching the discrete dynamical systems by means of skew-evolution semiflows ⋮ Exponential dichotomy of difference equations in \(l_{p}\)-phase spaces on the half-line ⋮ Input-output criteria for stability and expansiveness of dynamical systems ⋮ On the polynomial stability of evolution families ⋮ Solution estimates for the discrete Lyapunov equation in a Hilbert space and applications to difference equations ⋮ Hyperbolicity Radius of Time-Invariant Linear Systems

Cites Work

• Unnamed Item
• Dichotomies in stability theory
• Exponential dichotomy and mild solutions of nonautonomous equations in Banach spaces
• Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line
• Lower semicontinuity and the theorem of Datko and Pazy
• Exponential dichotomy of difference equations and applications to evolution equations on the half-line
• A criterion for the exponential stability of linear difference equations.
• Perron conditions for uniform exponential expansiveness of linear skew-product flows
• Exponentially dichotomous operators and exponential dichotomy of evolution equations on the half-line
• \((L^p,L^q)\)-admissibility and exponential dichotomy of evolutionary processes on the half-line
• Exponential stability of operators and operator semigroups
• Exponential Expansiveness and Complete Admissibility For Evolution Families
• The concept of spectral dichotomy for linear difference equations II
• Stability Radius and Internal Versus External Stability in Banach Spaces: An Evolution Semigroup Approach
• Sufficient conditions for exponential stability and dichotomy of evolution equations
• Characterizations of dichotomies of evolution equations on the half-line

This page was built for publication: New characterizations of exponential dichotomy and exponential stability of linear difference equations