Naslov
Characterization of nonuniform contractions and expansions with growth rates

Autori
Barreira, Luis ; Dragičević, Davor ; Valls, Claudia

Izvornik
Mediterranean journal of mathematics (1660-5446) 13 (2016), 6; 4265-4279

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
admissibility ; nonuniform contractions ; nonuniform expansions ; robustness

Sažetak
For a one-sided nonautonomous dynamics defined by a sequence of linear operators, we obtain a complete characterization of (strong) nonuniform exponential contractions and (strong) nonuniform exponential expansions in terms of admissibility of a certain pairs of sequence spaces. We allow asymptotic rates of the form $e^{; ; ; ; c\rho(n)}; ; ; ; $ determined by an arbitrary increasing sequence~$\rho(n)$ that tends to infinity. For example, the usual exponential behavior with $\rho(n)=n$ is included as a very special case. As a nontrivial application of our work, we establish the robustness of (strong) nonuniform exponential contractions and (strong) nonuniform exponential expansions, that is, the persistence of those notions under sufficiently small linear perturbations.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA