Pregled bibliografske jedinice broj: 949155
Smooth Linearization of Nonautonomous Difference Equations with a Nonuniform Dichotomy
Smooth Linearization of Nonautonomous Difference Equations with a Nonuniform Dichotomy // Mathematische Zeitschrift, 292 (2019), 1175-1193 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 949155 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Smooth Linearization of Nonautonomous Difference
Equations with a Nonuniform Dichotomy
Autori
Dragičević, Davor ; Zhang, Weinian ; Zhang, Wenmeng
Izvornik
Mathematische Zeitschrift (0025-5874) 292
(2019);
1175-1193
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
nonautonomous difference equation ; nonuniform strong exponential dichotomy ; smooth linearization ; spectral gap.
Sažetak
In this paper we give a smooth linearization theorem for nonautonomous difference equations with a nonuniform strong exponential dichotomy. The linear part of such a nonautonomous difference equation is defined by a sequence of invertible linear operators on Rd. Reducing the linear part to a bounded linear operator on a Banach space, we discuss the spectrum and its spectral gaps. Then we obtain a gap condition for C1 linearization of such a nonautonomous difference equation. We finally extend the result to the infinite dimensional case. Our theorems improve known results even in the case of uniform strong exponential dichotomies.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2014-09-2285 - Geometrijska, ergodička i topološka analiza nisko-dimenzionalnih dinamičkih sustava (GETDYN) (Slijepčević, Siniša, HRZZ - 2014-09) ( 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
