Affiliation:
1. 1 Mansoura University Mathematics Department, Faculty of Science Mansoura 35516 Egypt
Abstract
In this paper we study the behavior of the difference equation \documentclass{aastex}
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\begin{document}
$$x_{n + 1} = ax_{n - 2} + \frac{{bx_n x_{n - 2} }}{{cx_n + dx_{n - 3} }},n = 0,1,...$$
\end{document} where the initial conditions
x−3
,
x−2
,
x−1
,
x0
are arbitrary positive real numbers and
a, b, c, d
are positive constants. Also, we give the solution of some special cases of this equation.
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4. On the dynamics of xn+1 = α+γxn−1+δxn−2/A+xn−2;Camouzis E.;J. Differ Equations Appl.,2003
5. On the positive solutions of the difference equation xn+1 = axn−1/1+bxnxn−1;Cinar C.;Appl. Math. Comp.,2004
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