Asymptotics for linear difference equations I: Basic theory

Authors
Elaydi, S
Citation
S. Elaydi, Asymptotics for linear difference equations I: Basic theory, J DIF EQ AP, 5(6), 1999, pp. 563-589
Citations number
39
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
ISSN journal
10236198 → ACNP
Volume
5
Issue
6
Year of publication
1999
Pages
563 - 589
Database
ISI
SICI code
1023-6198(1999)5:6<563:AFLDEI>2.0.ZU;2-4
Abstract
We present here a unified treatment of asymptotic theory of linear differen ce equations. This is based on an adapted theory of discrete dichotomy. The obtained results narrow the gap between Poincare's Theorem and (the discre te analogue of) Levinson's Theorem.