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Title: New conditions for (non)uniform behaviour of linear cocycles over flows
Authors: Abu Alhalawa, Muna
Keywords: Frechét spaces;Tempered exponential dichotomies;Lyapunov exponents;Linear cocycles
Issue Date: 21-Dec-2018
Publisher: Journal of Mathematical Analysis and Applications
Series/Report no.: 473(2019)367–381;15
Abstract: We give a characterization of tempered exponential dichotomies for linear cocycles over flows in terms of the spectral properties of certain linear operators. We consider noninvertible linear cocycles acting on infinite-dimensional spaces and our approach avoids the use of Lyapunov norms. Finally, we apply obtained results to give new conditionsfor uniform exponential stability of linear cocycles.
ISSN: 473(2019)367–381
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