Pregled bibliografske jedinice broj: 1118974
Shadowing for nonautonomous difference equations with infinite delay
Shadowing for nonautonomous difference equations with infinite delay // Applied mathematics letters, 120 (2021), 107284, 8 doi:10.1016/j.aml.2021.107284 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1118974 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Shadowing for nonautonomous difference equations
with infinite delay
Autori
Dragičević, Davor ; Pituk, Mihaly
Izvornik
Applied mathematics letters (0893-9659) 120
(2021);
107284, 8
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
shadowing ; Hyers-Ulam stability ; delay difference equations ; infinite delay
Sažetak
We formulate sufficient conditions under which a large class of semilinear nonautonomous difference equations with infinite delay is Hyers-Ulam stable. These conditions require that the nonautonomous linear part admits an exponential dichotomy and that the nonlinear perturbations are uniformly Lipschitz continuous with a sufficiently small Lipschitz constant. In the more general situation when the linear part admits a shifted exponential dichotomy, we are able to provide sufficient conditions for the existence of a certain weighted form of the shadowing property.
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
