Browsing by Author "Oğul, Burak"
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Article Citation - WoS: 5Citation - Scopus: 8Closed-Form Solution of a Rational Difference Equation(Hindawi Ltd, 2021) İbrahim, Tarek F.; Khan, Abdul Qadeer; Oğul, Burak; Şimşek, DağıstanIn this paper, we study the solution of the difference equation Omega(m+1) = (Omega(m-(7q+6))/(1 + Pi(5)(t=0) Omega(m-(q+1)t- q))), where the initials are positive real numbers.Correction Citation - WoS: 2Citation - Scopus: 1Dynamical Behavior of Rational Difference Equation /+ 1 +/-(vol 27, 49, 2021)(SPRINGER INT PUBL AG, 2021) Oğul, Burak; Şimşek, Dağıstan; Öğünmez, Hasan; Kurbanlı, Abdullah Selçuk[Abstract Not Available]Article Dynamical Behavior of Rational Difference Equation X(n+1) = X(n-15)/+ 1 +/- X(n-3)x(n(SPRINGER INDIA, 2024) Oğul, Burak; Şimşek, Dağıstan; Kurbanlı, Abdullah Selçuk; Öğünmez, HasanIn this paper, we study the qualitative behavior of the rational recursive sequences x(n+1) = x(n-15)/+/- 1 +/- x(n-3)x(n-7)x(n-11)x(n-15), n is an element of N-0 where the initial conditions are arbitrary real numbers. Also, we give the numerical examples and solutions graphs of some cases of difference equations.Article Citation - Scopus: 5Dynamical Behavior of Rational Difference Equation Xn+1=xn-17±1±xn(Birkhauser, 2021) Oğul, Burak; Şimşek, Dağıstan; Öğünmez, Hasan; Kurbanlı, Abdullah SelçukIn this paper, we study the qualitative behavior of the rational recursive sequences xn+1=xn-17±1±xn-2xn-5xn-8xn-11xn-14xn-17,n?N0where the initial conditions are arbitrary nonzero positive real numbers. Also, we give the numerical examples and solutions graphs of some cases of difference equations. © 2021, Sociedad Matemática Mexicana.Article Citation - WoS: 2Citation - Scopus: 2Dynamical Behavior of Solution of Fifteenth-Order Rational Difference Equation(Univ Nis, Fac Sci Math, 2024) Şimşek, Dağıstan; Oğul, Burak; Abdullayev, FahreddinDiscrete-time systems are sometimes used to explain natural phenomena that happen in non-linear sciences. We study the periodicity, boundedness, oscillation, stability, and certain exact solutions of nonlinear difference equations of generalized order in this paper. Using the standard iteration method, exact solutions are obtained. Some well-known theorems are used to test the stability of the equilibrium points. Some numerical examples are also provided to confirm the theoretical work's validity. The numeri-cal component is implemented with Wolfram Mathematica. The method presented may be simply applied to other rational recursive issues. In this research, we examine the qualitative behavior of rational recursive sequences provided that the initial conditions are arbitrary real numbers. We examine the behavior of solutions on graphs according to the state of their initial value xn+1 = xn-2xn-8xn-14 . +/- xn-5xn-11 +/- xn-2xn-5xn-8xn-11xn-14Article Citation - Scopus: 4On the Recursive Sequence 20 1 2 5 8 11 14 17(2022) Şimşek, Dağıstan; Oğul, BurakThe behaivour of the solutions of the following system of difference equations is examined, 20 1 2 5 8 11 14 17 1 n n nnnn n n x x xxxx x x ? + ???? ? ? = + , where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers. Also, we discuss and illustrate the stability of the solutions in the neighborhood of the critical points and the periodicity of the considered equations.Article On the recursive sequence x n+1 =frac x n−14 1− x n−2 x n−5 x n−8 x n−11(2020) Oğul, Burak; Şimşek, DağıstanIn this paper, given solutions fort he following difference equation $x_{n+1}=\frac{x_{n-14}}{1-x_{n-2} x_{n-5} x_{n-8} x_{n-11}}$ , n ? ? where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers. We investigate periodic behavior of this equation. Also some numerical examples and graphs of solutions are given.Article Citation - WoS: 2Citation - Scopus: 3On the Recursive Sequence Xn+1 = Xn-7/1+xn-1xn-3xn-5(Chiang Mai Univ, Fac Science, 2022) Oğul, Burak; Şimşek, Dağıstan; Abdullayev, Fahreddin; Farajzadeh, AliIn this paper we are going to analyze the following difference equation x(n+1) = x(n-7)/1+x(n-1)x(n-3)x(n-5) n = 0, 1, 2,..., where x-7, x-6, x-5, x-4, x-3, x-2, x-1, x(0) is an element of (0, infinity).Article The Solution and Dynamic Behaviour of Difference Equations of Twenty-First Order(2023) Ibrahim, Tarek Fawzi; Şimşek, Dağıstan; Oğul, BurakWe explore the dynamics of adhering to rational difference formula $ psi_{m+1} =frac{ psi_{m-20}}{pm 1pm psi_{m-2}psi_{m-5}psi_{m-8}psi_{m-11}psi_{m-14}psi_{m-17}psi_{m-20}}, min mathbb{N}_{0}$ where the initials are arbitrary nonzero real numbers. Specifically, we examine global asymptotically stability. Additionally, we provide examples and solutions graphs of some special cases.Article Citation - WoS: 2Citation - Scopus: 3Solution of Rational Difference Equation [pp. 32 - 43](UNIV PRISHTINES, 2020) Oğul, Burak; Şimşek, DağıstanIn this work we investigated the solution for the following difference equation x(n+1) = x(n)-17/1 + Pi(4)(t=0) x(n) - 3t-2 where x-17, x-16, ..., x-1, x(0) is an element of (0, infinity). Moreover, we gave a numerical example of to the solution the related difference equation.Article Citation - WoS: 2Citation - Scopus: 2Solution of the Maximum of Difference Equation(WALTER DE GRUYTER GMBH, 2020) Şimşek, Dağıstan; Oğul, Burak; Abdullayev, FahreddinIn 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, [1-17]. The study of max type difference equations has also attracted some attention recently. We study the behaviour of the solutions of the following system of difference equation with the max operator:paper deals with the behaviour of the solutions of the max type system of difference equations, x(n+1) = max {A/x(n-1) , y(n)/x(n)}; y(n+1) = max {A/y(n-1) , x(n)/y(n)}, (1) where the parametr A and initial conditions x(-1), x(0), y(-1), y(0) are positive reel numbers.Article Citation - WoS: 3Citation - Scopus: 7Solution of the Rational Difference Equation(WALTER DE GRUYTER GMBH, 2020) Şimşek, Dağıstan; Oğul, Burak; Abdullayev, FahreddinIn 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), where the initial conditions are positive real numbers.Conference Object Citation - WoS: 15Citation - Scopus: 18Solution of the Rational Difference Equation Xn+1 = Xn-17/1+xn-5.xn-11(UNIV NIS, FAC SCI MATH, 2019) Şimşek, Dağıstan; Oğul, Burak; Çınar, CengizIn this paper, solution of the following difference equation is examined x(n+1) = x(n-17)/1+x(n-5).x(n-11) where the initial conditions are positive reel numbers.Other Solutions of the System of Maximum Difference Equations(2019) Şimşek, Dağıstan; Oğul, Burak[Abstract Not Available]
