EXPONENTIAL DICHOTOMIES, ALMOST-PERIODIC STRUCTURALLY STABLE DIFFERENTIAL-SYSTEMS, AND AN EXAMPLE

Authors
HONG JL YUAN R JING ZJ
Citation
Jl. Hong et al., EXPONENTIAL DICHOTOMIES, ALMOST-PERIODIC STRUCTURALLY STABLE DIFFERENTIAL-SYSTEMS, AND AN EXAMPLE, Journal of mathematical analysis and applications, 208(1), 1997, pp. 71-84
Citations number
21
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
208
Issue
1
Year of publication
1997
Pages
71 - 84
Database
ISI
SICI code
0022-247X(1997)208:1<71:EDASSD>2.0.ZU;2-W
Abstract
In this paper, we introduce concepts of almost periodic topological (i n short, APT) equivalence and almost periodic structural (in short, AP S) stability of differential systems, and a necessary and sufficient c ondition for APS stability of differential systems. Furthermore, we di scuss the inheritability of the APS stability and density of APS stabl e differential systems in a certain space of uniformly almost periodic differential systems. (C) 1997 Academic Press.