Pregled bibliografske jedinice broj: 1128854
Smooth Stable Manifold for Delay Differential Equations with Arbitrary Growth Rate
Smooth Stable Manifold for Delay Differential Equations with Arbitrary Growth Rate // Axioms, 10 (2021), 2; 105, 14 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1128854 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Smooth Stable Manifold for Delay Differential
Equations with Arbitrary Growth Rate
Autori
Singh, Lokesh ; Bahuguna, Dhirendra
Izvornik
Axioms (2075-1680) 10
(2021), 2;
105, 14
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
delay differential equation ; ρ-nonuniform exponential dichotomy ; stable manifold ; arbitrary growth rates
Sažetak
In this article, we construct a C 1 stable invariant manifold for the delay differential equation x 0 = Ax(t) + Lxt + f(t, xt) assuming the ρ- nonuniform exponential dichotomy for the corresponding solution operator. We also assume that the C 1 perturbation, f(t, xt), and its derivative are sufficiently small and satisfy smoothness conditions. To obtain the invariant manifold, we follow the method developed by Lyapunov and Perron. We also show the dependence of invariant manifold on the perturbation f(t, xt).
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
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
- Scopus
