Pregled bibliografske jedinice broj: 1207329
Weighted Hyers-Ulam stability for nonlinear nonautonomous difference equations
Weighted Hyers-Ulam stability for nonlinear nonautonomous difference equations // Sarajevo journal of mathematics, 18 (2022), 1; 97-106 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1207329 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Weighted Hyers-Ulam stability for nonlinear
nonautonomous difference equations
Autori
Dragičević, Davor
Izvornik
Sarajevo journal of mathematics (1840-0655) 18
(2022), 1;
97-106
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
shadowing ; exponential dichotomy ; nonautonomous dynamics
Sažetak
Let (Am)m∈Z be a sequence of bounded linear operators acting on an arbitrary Banach space X and admitting an exponential dichotomy. Furthermore, let fm : X → X, m ∈ Z be a sequence of Lipschitz maps. Provided that the Lipschitz constants of fm are uniformly small, we show that a nonlinear difference equation xm+1 = Amxm + fm(xm), m ∈ Z, exhibits various types of the weighted Hyers-Ulam stability property.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Napomena
Invited paper for the special issue dedicated to
Professor Mustafa Kulenović
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)
