Pregled bibliografske jedinice broj: 688138
Exponential dichotomies with respect to a sequence of norms and admissibility
Exponential dichotomies with respect to a sequence of norms and admissibility // International journal of mathematics, 25 (2014), 3; 1450024, 20 doi:10.1142/S0129167X14500244 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 688138 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Exponential dichotomies with respect to a sequence of norms and admissibility
Autori
Barreira, Luis ; Dragičević, Davor ; Valls, Claudia.
Izvornik
International journal of mathematics (0129-167X) 25
(2014), 3;
1450024, 20
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
exponential dichotomies ; l p spaces ; robustness
Sažetak
For a nonautonomous dynamics defined by a sequence of linear operators, we introduce the notion of an exponential dichotomy with respect to a sequence of norms and we characterize it completely in terms of the admissibility in lp spaces, both for the space of perturbations and the space of solutions. This allows unifying the notions of uniform and nonuniform exponential behavior. Moreover, we consider the general case of a noninvertible dynamics. As a nontrivial application we show that the conditional stability of a nonuniform exponential dichotomy persists under sufficiently small linear perturbations.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Sveučilište u Rijeci,
Sveučilište u Rijeci, Fakultet za matematiku
Profili:
Davor Dragičević
(autor)
Poveznice na cjeloviti tekst rada:
Pristup cjelovitom tekstu rada doi www.worldscientific.com doi.orgCitiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
