Stability problem of some nonlinear difference equations

In this paper, we investigate the asymptotic stability of the recursive sequence xn+1=α+βxn21+γxn−1,    n=0,1,… and the existence of certain monotonic solutions of the equation xn+1=xnpf(xn,xn−1,…,xn−k),     n=0,1,… which includes as a special case the rational recursive sequence xn+1=βxnp1+∑i=1kγix...

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Bibliographic Details
Main Authors: Alaa E. Hamza, M. A. El-Sayed
Format: Article
Language:English
Published: Hindawi Limited 1998-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171298000453