Affiliation:
1. Department of Basic Science , The Higher Institute for Engineering & Technology Al-Obour Cairo , Obour , Egypt
Abstract
Abstract
In this paper, we determine the forbidden sets, introduce an explicit formula for the solutions
and discuss the global behaviors of solutions of the difference equations
x
n
+
1
=
a
x
n
x
n
−
1
b
x
n
−
1
+
c
x
n
−
2
,
n
=
0
,
1
,
…
$$\begin{array}{}
\displaystyle
x_{n+1}=\frac{ax_{n}x_{n-1}}{bx_{n-1}+ cx_{n-2}},\quad n=0,1,\ldots
\end{array}
$$
where a,b,c are positive real numbers and the initial conditions x
−2,x
−1,x
0 are real numbers.
Cited by
12 articles.
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