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http://hdl.handle.net/20.500.11889/5856
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. | URI: | http://hdl.handle.net/20.500.11889/5856 | ISSN: | 473(2019)367–381 |
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New conditions for (non)uniform behaviour of linear cocycles over flows.pdf | Journal Of Mathematical analysis and applications | 367.07 kB | Adobe PDF | View/Open |
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