Necessary and sufficient conditions for the invertibility of the non-linear difference operator (Dx)(t) = x(t+1)-f(x(t)) in the space of bounded continuous functions on the real axis

Authors
Slyusarchuk, VE
Citation
Ve. Slyusarchuk, Necessary and sufficient conditions for the invertibility of the non-linear difference operator (Dx)(t) = x(t+1)-f(x(t)) in the space of bounded continuous functions on the real axis, SB MATH, 192(3-4), 2001, pp. 565-576
Citations number
23
Categorie Soggetti
Mathematics
Journal title
SBORNIK MATHEMATICS
ISSN journal
10645616 → ACNP
Volume
192
Issue
3-4
Year of publication
2001
Pages
565 - 576
Database
ISI
SICI code
1064-5616(200103/04)192:3-4<565:NASCFT>2.0.ZU;2-G
Abstract
Necessary and sufficient conditions for the invertibility in the space of b ounded continuous functions on R of the non-linear difference operator (Dx)(t) = Z(t + 1) - f(x(t)), t is an element ofR, with f: R --> R a continuous map, are obtained.