Fuzzy Information and Engineering Volume 2 pp 923-935 | Cite as
Dynamics of a Higher Order Nonlinear Difference Equation
Conference paper
Abstract
In this paper, we investigate the persistence and global attractivity of the difference equation \( x_n = {{p + qx_{n-s}} \over {1+x_{n-s}+rx_{n-t}}} n = 0,1, ..., \) with positive initial conditions where s, t are distinct nonnegative integers, p, q > 0. Our results not only include some previously known results, but apply to some difference equations that have not been investigated so far.
Keywords
convergence difference equation equilibrium global asymptotic stabilityPreview
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