Abstract
The principle goal of this paper is to look at some of the qualitative behavior of the critical point of the rational difference equation
Ψ_{n+1}=αΨ_{n-2}+((βΨ_{n-2}Ψ_{n-3})/(γΨ_{n-3}+δΨ_{n-6})), n=0,1,2,...,
where α,β,γ and δ are arbitrary positive real numbers. We also used the proposed equation to get the general solution for particular cases and provided numerical examples to demonstrate our results.
Publisher
Ikonion Journal of Mathematics
Reference40 articles.
1. 1.R. Abo-Zeid and H. Kamal, Global behavior of two rational third order difference equations , Universal J. Math. Appl., (2019), 212-217.
2. 2.R. P. Agarwal and E. M. Elsayed, Periodicity and stability of solutions of higher order rational difference equation, Advanced Studies in Contemp. Math., 2008, 181-201.
3. 3.H. S. Alayachi, M. S. M. Noorani, A. Q. Khan and M. B. Almatrafi, Analytic solutions and stability of sixth order difference equations, Math. Prob. Eng., 2020 (2020), 1-12.
4. 4.H. S. Alayachi, A. Q. Khan, M. S. M. Noorani, and A. Khaliq, Displaying the structure of the solutions for some fifth-order systems of recursive equations, Math. Prob. Eng., 2021 (2021), 1-14.
5. 5.H. S. Alayachi, A. Q. Khan, and M. S. M. Noorani, On the solutions of three-dimensional rational difference equation systems, J. Math., 2021 (2021), 1- 15.
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