On the recursive sequence x(n+1)=alpha+x(n-1)/x(n)

Authors
Amleh, AM Grove, EA Ladas, G Georgiou, DA
Citation
Am. Amleh et al., On the recursive sequence x(n+1)=alpha+x(n-1)/x(n), J MATH ANAL, 233(2), 1999, pp. 790-798
Citations number
3
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
233
Issue
2
Year of publication
1999
Pages
790 - 798
Database
ISI
SICI code
0022-247X(19990515)233:2<790:OTRSX>2.0.ZU;2-A
Abstract
We study the global stability, the boundedness character, and the periodic nature of the positive solutions of the difference equation x(n+1) = alpha + x(n-1)/x(n), where alpha is an element of [0, infinity), and where the in itial conditions x(-1) and x(0) are arbitrary positive real numbers. (C) 19 99 Academic Press.