Exponential forward splitting for noninvertible difference equations

DOI10.1016/S0898-1221(01)00194-8zbMath1005.39010OpenAlexW2001376754MaRDI QIDQ1600425

J. Kalkbrenner, Aulbach, Bernd

Publication date: 13 June 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(01)00194-8

zbMATH Keywords

Banach spaceexponential forward dichotomyexponential forward splittingnoninvertible difference equations

Mathematics Subject Classification ID

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Cites Work

• Unnamed Item
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• Geometric theory of semilinear parabolic equations
• Invertibility and dichotomy of differential operators on a half-line
• Robustness of exponential dichotomies in infinite-dimensional dynamical systems
• The concept of spectral dichotomy for linear difference equations
• Existence and roughness of the exponential dichotomy for skew-product semiflow in Banach spaces
• Dichotomies for linear difference equations
• The concept of spectral dichotomy for linear difference equations II
• Exponential dichotomy for solutions of discrete systems

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