The asymptotic behavior of monotone difference equations of higher order

Authors
Krause, U
Citation
U. Krause, The asymptotic behavior of monotone difference equations of higher order, COMPUT MATH, 42(3-5), 2001, pp. 647-654
Citations number
7
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN journal
08981221 → ACNP
Volume
42
Issue
3-5
Year of publication
2001
Pages
647 - 654
Database
ISI
SICI code
0898-1221(200108/09)42:3-5<647:TABOMD>2.0.ZU;2-K
Abstract
For difference equations which satisfy a strict monotonicity property a com parison principle is shown. This is used to prove relative stability for al l solutions which implies, in particular, that all solutions must converge to a limit provided there is at least one bounded nonzero solution. (C) 200 1 Elsevier Science Ltd. All rights reserved.