Pregled bibliografske jedinice broj: 1202698
Weighted shadowing for delay differential equations
Weighted shadowing for delay differential equations // Archiv der Mathematik, 119 (2022), 539-552 doi:10.1007/s00013-022-01769-3 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1202698 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Weighted shadowing for delay differential equations
Autori
Backes, Lucas ; Dragičević, Davor ; Pituk, Mihaly ; Singh, Lokesh
Izvornik
Archiv der Mathematik (0003-889X) 119
(2022);
539-552
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
shadowing property ; delay differential equation ; exponential dichotomy
Sažetak
After introducing the notion of weighted shadowing, we give sufficient conditions under which certain nonlinear perturbations of nonautonomous linear delay differential equations exhibit the shadowing property with respect to a given weight function. As a corollary, it is shown that if the unperturbed equation admits a shifted exponential dichotomy and the Lipschitz constant of the nonlinear term is sufficiently small, then the perturbed system has a shadowing property with respect to an exponential weight function. An application to differential equations with small delay is given. The results are new even in the case of the standard shadowing property.
Izvorni jezik
Hrvatski
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
