On a difference-delay equation

Authors
Davies, RO Ostaszewski, AJ
Citation
Ro. Davies et Aj. Ostaszewski, On a difference-delay equation, J MATH ANAL, 247(2), 2000, pp. 608-626
Citations number
3
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
247
Issue
2
Year of publication
2000
Pages
608 - 626
Database
ISI
SICI code
0022-247X(20000715)247:2<608:OADE>2.0.ZU;2-V
Abstract
We investigate how the behaviour, especially at +/-infinity, of continuous real solutions f(t) to the equation f(t) = a(1)f(t + h(1)) + a(2)f(t - h(2) ), where a(1), a(2), h(1), h(2) are positive real constants, depends on the values of these parameters. Definitive answers are given, except in certai n cases when h(1)/h(2) is rational. (C) 2000 Academic Press.