ON A SECOND ORDER RATIONAL DIFFERENCE EQUATION

Year 2012, Volume: 41 Issue: 6, 867 - 874, 01.06.2012

Nouressadat Touafek

Abstract

ON A SECOND ORDER RATIONAL DIFFERENCE EQUATION

Abstract

In this paper, we investigate the stability of the following difference
equation
xn+1 =
ax4
n + bxnx
3
n−1 + cx2
nx
2
n−1 + dx3
nxn−1 + ex4
n−1
Ax4
n + Bxnx
3
n−1 + Cx2
nx
2
n−1 + Dx3
nxn−1 + Ex4
n−1
,
n = 0, 1, . . . ,
where the parameters a, b, c, d, e, A, B, C, D, E are positive real
numbers and the initial values x0, x−1 are arbitrary positive numbers. 

Keywords

: Difference equations , Global stability

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