Naslov
Admissibility and polynomial dichotomies for evolution families

Autori
Dragičević, Davor

Izvornik
Communications on pure and applied analysis (1534-0392) 19 (2020), 3; 1321-1336

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

Ključne riječi
polynomial dichotomies ; admissibility ; robustness

Sažetak
For an arbitrary evolution family, we consider the notion of a polynomial dichotomy with respect to a family of norms and characterize it in terms of the admissibility property, that is, the existence of a unique bounded solution for each bounded perturbation. In particular, by considering a family of Lyapunov norms, we recover the notion of a (strong) nonuniform polynomial dichotomy. As a nontrivial application of the characterization, we establish the robustness of the notion of a strong nonuniform polynomial dichotomy under sufficiently small linear perturbations.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA