Existence of a class of ergodic solutions implies exponential trichotomy

Citation
Jl. Hong et al., Existence of a class of ergodic solutions implies exponential trichotomy, APPL MATH L, 12(4), 1999, pp. 43-45
Citations number
10
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
12
Issue
4
Year of publication
1999
Pages
43 - 45
Database
ISI
SICI code
0893-9659(199905)12:4<43:EOACOE>2.0.ZU;2-E
Abstract
In this note we prove that the property of exponential trichotomy is necess ary for the presence of ergodic solutions of linear differential and differ ence equations with ergodic perturbations. (C) 1999 Elsevier Science Ltd. A ll rights reserved.