差分方程的定性行为${间{n + 1}} = \压裂{{α% \{间{n - m} + \埃塔{间{n - k}{+ \σ{间{n-l}}}} +}} \三角洲{{间{n}}}}{{\β+ \γ{间{n - k}}{间{n-l}} \离开({{间{n - k}} +{间{n-l}}} \右)}}$

Mohamed ABD EL-MONEAM
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摘要

在本文中,我们讨论一些正解的定性性质如下合理的非线性差分方程${间{n + 1}} = % \压裂{{\α{间{n - m} + \埃塔{间{n - k}{+ \σ{间{n-l}}}} +}} \三角洲{{间{n}}}}{%{\β+ \γ{间{n - k}}{间{n-l}} \离开({{间{n - k}} +{间{n-l}}} \ ) }}$, $% n = 0, 1, 2,…其中参数$\alpha,\beta,\gamma,\delta,{\eta},{% \sigma}\in (0,\infty)$,而$m,k,l$是正整数,使得$% m
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Qualitative Behavior of the difference equation ${x_{n+1}}=\frac{{% \alpha {x_{n-m}+\eta {x_{n-k}{+\sigma {x_{n-l}}}}+}}\delta {{x_{n}}}}{{\beta +\gamma {x_{n-k}}{x_{n-l}}\left( {{x_{n-k}}+{x_{n-l}}}\right) }}$
In this paper, we discuss some qualitative properties of the positive solutions to the following rational nonlinear difference equation ${x_{n+1}}=% \frac{{\alpha {x_{n-m}+\eta {x_{n-k}{+\sigma {x_{n-l}}}}+}}\delta {{x_{n}}}}{% {\beta +\gamma {x_{n-k}}{x_{n-l}}\left( {{x_{n-k}}+{x_{n-l}}}\right) }}$, $% n=0,1,2,...$ where the parameters $\alpha ,\beta ,\gamma ,\delta ,{\eta },{% \sigma }\in (0,\infty )$, while $m,k,l$ are positive integers, such that $% m
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