On a Max-Type Difference Equation
We study the behaviour of the solutions of the following difference equation with the max operator: x n + 1 = max { 1 / x n , A x n − 1 } , n ∈ ℕ 0 , where parameter A ∈ ℝ and initial values x − 1 and x 0 are nonzero real numbers. In the most of the cases we determine the behaviour of the solutions...
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| Published in: | Discrete Dynamics in Nature and Society Vol. 2007; pp. 192 - 201 |
|---|---|
| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Hindawi Limiteds
01-01-2007
Hindawi Limited |
| Online Access: | Get full text |
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| Summary: | We study the behaviour of the solutions of the following difference equation with the max operator:
x
n
+
1
=
max
{
1
/
x
n
,
A
x
n
−
1
}
,
n
∈
ℕ
0
, where parameter
A
∈
ℝ
and initial values
x
−
1
and
x
0
are nonzero real numbers. In the most of the cases we determine the behaviour of the solutions in the terms of the initial values
x
−
1
and
x
0
and the parameter
A
. |
|---|---|
| ISSN: | 1026-0226 1607-887X |
| DOI: | 10.1155/2007/47264 |