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

Authors
Kulenovic, MRS Ladas, G Prokup, NR
Citation
Mrs. Kulenovic et al., On the recursive sequence x(n+1)=(alpha x(n)+beta x(n-1))/(A+x(n)), J DIF EQ AP, 6(5), 2000, pp. 563-576
Citations number
5
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
ISSN journal
10236198 → ACNP
Volume
6
Issue
5
Year of publication
2000
Pages
563 - 576
Database
ISI
SICI code
1023-6198(2000)6:5<563:OTRSXX>2.0.ZU;2-N
Abstract
We investigate the boundedness, the global stability, and the periodicity o f solutions of the recursive sequence x(n+1) = alpha xn + beta x(n-1)/A + x(n), n = 0, 1,... where the parameters alpha, beta, and A and the initial conditions x(-1) an d x(0) are non-negative real numbers.