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Akademický článek

A Qualitative Investigation of the Solution of the Difference Equation $\Psi_{m+1}=\frac{\Psi_{m-3}\Psi_{m-5}}{\Psi_{m-1} \left( \pm1\pm \Psi_{m-3}\Psi_{m-5} \right) }$

Autor: Ibrahim Tarek Fawzi Abdelhamid, Dağıstan Şimşek, Burak Oğul

Publikováno v: Communications in Advanced Mathematical Sciences, Vol 6, Iss 2, Pp 78-85 (2023)

We explore the dynamics of adhering to rational difference formula \begin{equation*} \Psi_{m+1}=\frac{\Psi_{m-3}\Psi_{m-5}}{\Psi_{m-1} \left( \pm1\pm \Psi_{m-3}\Psi_{m-5} \right) } \quad m \in \mathbb{N}_{0} \end{equation*} where the initials $\Psi_{

Externí odkaz: https://doaj.org/article/5149c4373cb847d0872a90f4fa7768eb

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Akademický článek

On the Recursive Sequence $x_{n+1}= \frac{x_{n-29}}{1+x_{n-4}x_{n-9}x_{n-14}x_{n-19}x_{n-24}}$

Autor: Burak Oğul, Dağistan Şimşek

Publikováno v: Communications in Advanced Mathematical Sciences, Vol 4, Iss 1, Pp 46-54 (2021)

In this paper, we are going to analyze the following difference equation $$x_{n+1}=\frac{x_{n-29}}{1+x_{n-4}x_{n-9}x_{n-14}x_{n-19}x_{n-24}} \quad n=0,1,2,...$$ where $x_{-29}, x_{-28}, x_{-27}, ..., x_{-2}, x_{-1}, x_{0} \in \left(0,\infty\right)$.

Externí odkaz: https://doaj.org/article/914f7e0f0e564c188167590a7cdfcf4d

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The Solution and Dynamic Behaviour of Difference Equations of Twenty-First Order

Autor: Burak OĞUL, Dağıstan ŞİMŞEK, Ibrahim TAREK FAWZİ ABDELHAMİD

Publikováno v: MANAS Journal of Engineering.

We explore the dynamics of adhering to rational difference formula $$ \psi_{m+1}=\frac{\psi_{m-20}}{\pm 1 \pm \psi_{m-2}\psi_{m-5}\psi_{m-8}\psi_{m-11}\psi_{m-14}\psi_{m-17}\psi_{m-20}}, \quad m \in \mathbb{N}_{0} $$ where the initials are arbitrary

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::eb7e1510370c23b4419842496ce4ba97
https://doi.org/10.51354/mjen.1233063

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On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]

Autor: Burak Oğul, Dagistan Simsek

Publikováno v: Volume: 8, Issue: 2 155-163
MANAS Journal of Engineering

In this paper, given solutions fort he following difference equation x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)] where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numb

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::add12a1831b64a395d0149008242e92d
https://doi.org/10.51354/mjen.748450

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Solution of the Maximum of Difference Equation xn+1=max{Axn−1,ynxn};yn+1=max{Ayn−1,xnyn}\matrix{ {x_{n + 1} = max \left\{ {{A \over {x_{n - 1} }},{{y_n } \over {x_n }}} \right\};} & {y_{n + 1} = max \left\{ {{A \over {y_{n - 1} }},{{x_n } \over {y_n }}} \right\}}}

Autor: Dagistan Simsek, Fahreddin G. Abdullayev, Burak Oğul

Publikováno v: Applied Mathematics and Nonlinear Sciences. 5:275-282

In the recent years, there has been a lot of interest in studying the global behavior of, the socalled, max-type difference equations; see, for example, [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17]. The study of max type difference equ

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ad3ef8dfc7c69f42ceb8f7a46a370de3
https://doi.org/10.2478/amns.2020.1.00025

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Solution of the Rational Difference Equation xn+1=xn−131+xn−1xn−3xn−5xn−7xn−9xn−11{x_{n + 1}} = {{{x_{n - 13}}} \over {1 + {x_{n - 1}}{x_{n - 3}}{x_{n - 5}}{x_{n - 7}}{x_{n - 9}}{x_{n - 11}}}}

Autor: Burak Oğul, Fahreddin G. Abdullayev, Dagistan Simsek

Publikováno v: Applied Mathematics and Nonlinear Sciences. 5:485-494

In this paper, solution of the following difference equation is examined x n + 1 = x n − 13 1 + x n − 1 x n − 3 x n − 5 x n − 7 x n − 9 x n − 11 , {x_{n + 1}} = {{{x_{n - 13}}} \over {1 + {x_{n - 1}}{x_{n - 3}}{x_{n - 5}}{x_{n - 7}}{x_{

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8e1611a0432abf861a50b54b2f7be9b6
https://doi.org/10.2478/amns.2020.1.00047

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Dynamical Behavior of Rational Difference Equation $$x_{n+1}=\frac{x_{n-15}}{\pm 1\pm x_{n-3}x_{n-7}x_{n-11}x_{n-15}}$$

Autor: Hasan Öğünmez, Burak Oğul, Abdullah Selçuk Kurbanli, Dagistan Simsek

Publikováno v: Differential Equations and Dynamical Systems.

In this paper, we study the qualitative behavior of the rational recursive sequences $$\begin{aligned} x_{n+1}=\frac{x_{n-15}}{\pm 1\pm x_{n-3}x_{n-7}x_{n-11}x_{n-15}}, \quad n \in {\mathbb {N}}_{0} \end{aligned}$$ where the initial conditions are ar

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5d3b144f77029f7d98fdaa6e891f4e3c
https://doi.org/10.1007/s12591-021-00582-8

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