Pregled bibliografske jedinice broj: 1080421
Admissibility and general dichotomies for evolution families
Admissibility and general dichotomies for evolution families // Electronic Journal of Qualitative Theory of Differential Equations, 58 (2020), 1-19 doi:10.14232/ejqtde.2020.1.58 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1080421 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Admissibility and general dichotomies for
evolution families
Autori
Dragičević, Davor ; Jurčević Peček, Nevena ; Lupa, Nicolae
Izvornik
Electronic Journal of Qualitative Theory of Differential Equations (1417-3875) 58
(2020);
1-19
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
admissibility ; dichotomies with growth rates ; robustness
Sažetak
For an arbitrary noninvertible evolution family on the half-line and for $\rho \colon [0, \infty)\to [0, \infty)$ in a large class of rate functions, we consider the notion of a $\rho$- dichotomy with respect to a family of norms and characterize it in terms of two admissibility conditions. In particular, our results are applicable to exponential as well as polynomial dichotomies with respect to a family of norms. As a nontrivial application of our work, we establish the robustness of general nonuniform dichotomies.
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)
NadSve-Sveučilište u Rijeci-uniri-prirod-18-9 - Metode matematičke analize u teorijskoj i primjenjenoj matematici (Dragičević, Davor, NadSve - UNIRI PROJEKTI 2018) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
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
