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New conditions for (non)uniform behaviour of linear cocycles over flows (CROSBI ID 258205)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Abu Alhalawa, Muna ; Dragičević, Davor New conditions for (non)uniform behaviour of linear cocycles over flows // Journal of mathematical analysis and applications, 473 (2019), 1; 367-381

Podaci o odgovornosti

Abu Alhalawa, Muna ; Dragičević, Davor

engleski

New conditions for (non)uniform behaviour of linear cocycles over flows

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 condtions for uniform exponential stability of linear cocycles.

Tempered exponential dichotomies ; Linear cocycles ; Lyapunov exponents ; Frechét spaces

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Podaci o izdanju

473 (1)

2019.

367-381

objavljeno

0022-247X

1096-0813

Povezanost rada

Matematika

Indeksiranost