Title :
On the Higher Order Difference Equation x_{n+1} = (x_{n-k+1})/(-1+x_{n}x_{n-1}...x_{n-k+1})
Author :
Wang, L.Y. ; Zhang, D.C. ; Zeng, X.Y.
Author_Institution :
Inst. of Appl. Math., Yantai
fDate :
July 30 2007-Aug. 1 2007
Abstract :
In this paper, we investigate the solutions of the higher order difference equation xn+1 = xn-k+1/(-1 + xnxn - 1hellip xn - k + 1) for n=0, 1, .... where k isin {1, 2, ... } and x-k+1,...,x0 are the real numbers such that xn-k hellip x0 ne 1.
Keywords :
difference equations; nonlinear differential equations; higher order difference equation; nonlinear difference equation; real numbers; Aerospace engineering; Artificial intelligence; Difference equations; Distributed computing; Mathematics; Software engineering; Stability;
Conference_Titel :
Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, 2007. SNPD 2007. Eighth ACIS International Conference on
Conference_Location :
Qingdao
Print_ISBN :
978-0-7695-2909-7
DOI :
10.1109/SNPD.2007.547