Open AccessGlobal behavior of the difference equation $x_{n+1}=\frac{Ax_{n-1}} {B-Cx_{n}x_{n-2}}$
Author(s) -
R. Abo-Zeid,
Cengiz Çınar
Publication year - 2011
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.v31i1.14432
Subject(s) - oscillation (cell signaling) , mathematics , stability (learning theory) , combinatorics , physics , mathematical physics , chemistry , computer science , biochemistry , machine learning
The aim of this work is to investigate the global stability, periodic nature, oscillation and the boundedness of all admissible solutions of the difference equation $x_{n+1}=\frac{Ax_{n-1}} {B-Cx_{n}x_{n-2}}$, n=0,1,2,... where A, B, C are positive real numbers