POSITIVE ALMOST AUTOMORPHIC SOLUTIONS FOR SOME NONLINEAR INFINITE DELAY INTEGRAL EQUATIONS

TitlePOSITIVE ALMOST AUTOMORPHIC SOLUTIONS FOR SOME NONLINEAR INFINITE DELAY INTEGRAL EQUATIONS
Publication TypeJournal Article
Year of Publication2008
AuthorsDADS E.H., CIEUTAT P., LHACHIMI L.
JournalDynamic Systems and Applications
Volume17
Start Page515
Pagination24
Date Published2008
ISSN1056-2176
AMS Subject Classification42A75, 44A35, 45G10
Abstract

We state sufficient conditions for the existence of positive bounded, almost automorphic or almost periodic solutions of the following nonlinear infinite delay integral equation: x(t) = Zt −∞ a(t, t − s)f(s, x(s)) ds. Then we apply these results to a finite delay integral equation when the delay is time-dependent and for a delay differential equation.
PDFhttps://acadsol.eu/dsa/articles/17/DSA-2007-515-538.pdf
Refereed DesignationRefereed