Citation
Am. Amleh et al., A difference equation with eventually periodic solutions, COMPUT MATH, 36(10-12), 1998, pp. 401-404
Citations number
3
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN journal
08981221
→ ACNP
Volume
36
Issue
10-12
Year of publication
1998
Pages
401 - 404
Database
ISI
SICI code
0898-1221(199811/12)36:10-12<401:ADEWEP>2.0.ZU;2-F
Abstract
We show that every solution of the difference equation
x(n+1) = max{1/x(n), A/x(n-1)}, n = 0, 1, ...,
where the parameter A and the initial conditions x(-1) and x(0) are nonzero
real numbers is eventually periodic with period 2, 3, or 4. We also give a
precise description of the period in terms of A and the initial conditions
. (C) 1998 Elsevier Science Ltd. All rights reserved.