Exponential dichotomy of difference equations in \(l_{p}\)-phase spaces on the half-line

DOI10.1155/ADE/2006/58453zbMath1139.39305MaRDI QIDQ2472212

Nguyen Thieu Huy, Vu Thi Ngoc Ha

Publication date: 20 February 2008

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54244

zbMATH Keywords

difference equationsexponential dichotomyBanach spacebounded linear operators\(l_p\) spaces

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Equations and inequalities involving linear operators, with vector unknowns (47A50)

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Exponential splitting for nonautonomous linear discrete-time systems in Banach spaces ⋮ Strong and weak \((L^p, L^q)\)-admissibility ⋮ Fine structure of the dichotomy spectrum ⋮ Exponential dichotomy and boundedness for retarded functional difference equations ⋮ Solution estimates for the discrete Lyapunov equation in a Hilbert space and applications to difference equations ⋮ Discretized characterizations of exponential dichotomy of linear skew-product semiflows over semiflows ⋮ On exponential dichotomy of variational difference equations ⋮ From one-sided dichotomies to two-sided dichotomies

Cites Work

• Geometric theory of semilinear parabolic equations
• Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line
• Semigroups of difference operators in spectral analysis of linear differential operators
• Exponential dichotomy of difference equations and applications to evolution equations on the half-line
• Fredholm differential operators with unbounded coefficients
• Existence and roughness of the exponential dichotomy for skew-product semiflow in Banach spaces
• Global asymptotic stability of solutions of cubic stochastic difference equations
• Trichotomy, stability, and oscillation of a fuzzy difference equation
• Exponential dichotomy of evolution equations and admissibility of function spaces on a half-line
• Exponential stability of dynamic equations on time scales
• Dichotomies for linear difference equations
• The concept of spectral dichotomy for linear difference equations II
• New characterizations of exponential dichotomy and exponential stability of linear difference equations
• Exponential dichotomy for solutions of discrete systems
• Characterizations of dichotomies of evolution equations on the half-line
• Dynamics of evolutionary equations
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