Pregled bibliografske jedinice broj: 1189215
Admissibility and nonuniform exponential dichotomies
Admissibility and nonuniform exponential dichotomies // Journal of differential equations, 326 (2022), 201-226 doi:10.1016/j.jde.2022.04.014 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1189215 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Admissibility and nonuniform exponential dichotomies
Autori
Dragičević, Davor ; Zhang, Weinian ; Zhou Linfeng
Izvornik
Journal of differential equations (0022-0396) 326
(2022);
201-226
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
evolution family ; nonuniform exponential dichotomy ; admissiblity ; differential operator ; infinite-dimension.
(evolution family ; nonuniform exponential dichotomy ; admissibility ; differential operator ; infinite-dimension.)
Sažetak
Nonuniform exponential dichotomy represents the nonuniform hyperbolicity for evolution family. Considerable efforts have been made to the relationship between the existence of nonuniform exponential dichotomies and the admissibility of a pair of function classes. In order to reduce the effect of nonuniformity, most results on this aspect need Lyapunov norms in function classes. However, it is difficult to construct an appropriate Lyapunov norm before the existence of a nonuniform exponential dichotomy is established, which happens in the converse problem from admissibility to dichotomy. In this paper, we prove the relationship without a Lyapunov norm. Then we apply our results to giving the relationship between nonuniform exponential dichotomy and invertibility of a differential mapping on some function spaces.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2019-04-1239 - Operatori pomaka, statistički zakoni i beskonačno-dimenzionalni dinamički sustavi (TOSLDS) (Dragičević, Davor, HRZZ - 2019-04) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
Profili:
Davor Dragičević
(autor)
Citiraj 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
