Naslov
Shadowing for nonautonomous dynamics

Autori
Dragičević, Davor

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Book of abstracts Equadiff 15 / - , 2022, 60-60

Skup
Equadiff 15

Mjesto i datum
Brno, Češka Republika, 11.07.2022. - 15.07.2022

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
shadowing ; nonautonomous equations

Sažetak
This is a joint work with L. Backes (Departamento de Matemática, Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil), M. Pituk (Department of Mathematics, University of Pannonia, Veszprém, Hungary) and L. Singh (Department of Mathematics, University of Rijeka, Radmile Matejčić 2, 51000 Rijeka, Croatia) In this talk we plan to survey several recent results dealing with the shadowing property of nonautonomous and nonlinear differential equations. More precisely, let us consider a nonautonomous semilinear differential equation x 0 = A(t)x + f(t, x) t ∈ R, (1) acting on an arbitrary Banach space X. Roughly speaking, we say that (1) exhibits shadowing property if in a vicinity of each approximate solution of (1), we can construct its exact solution. Our goal is to describe sufficient conditions under which (1) has shadowing property. Besides considering ordinary differential equations [1, 2, 4], we will also discuss the case of delay differential equations [3].

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA