Exponential separation, exponential dichotomy, and almost periodicity of linear difference equations

DOI10.1016/0022-247X(86)90216-7zbMath0602.39001MaRDI QIDQ1081762

Garyfalos Papaschinopoulos

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

reducibilityexponential dichotomylinear difference equationsalmost periodicityexponential separation

Mathematics Subject Classification ID

Additive difference equations (39A10)

Related Items (10)

Conditions for kinematical similarity of a linear difference equation to a block upper triangular equation ⋮ Block Diagonalization of Linear Difference Equations ⋮ A characterization of exponential separation in terms of reducibility for linear difference equations ⋮ Structural stability of linear discrete systems via the exponential dichotomy ⋮ Limit periodic homogeneous linear difference systems ⋮ Almost reducibility of linear difference systems from a spectral point of view ⋮ Almost periodic transformable difference systems ⋮ Stable inversion of LPTV systems with application in position-dependent and non-equidistantly sampled systems ⋮ Strongly Exponentially Separated Linear Difference Equations ⋮ Asymptotic diagonalization of linear difference equations^*

Cites Work

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• Periodic and almost periodic solutions of systems of finite difference equations
• Geometric theory of semilinear parabolic equations
• Exponential separation, exponential dichotomy and spectral theory for linear systems of ordinary differential equations
• Almost periodic differential equations
• Criteria for an exponential dichotomy of difference equations

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