Browsing by Author "Abdullayev, Fahreddin"

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Citation - WoS: 2
Citation - Scopus: 2
Dynamical Behavior of Solution of Fifteenth-Order Rational Difference Equation
(Univ Nis, Fac Sci Math, 2024) Şimşek, Dağıstan; Oğul, Burak; Abdullayev, Fahreddin
Discrete-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-14
Citation - WoS: 2
Citation - Scopus: 3
On 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, Ali
In 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).
Citation - WoS: 2
Citation - Scopus: 2
Solution of the Maximum of Difference Equation
(WALTER DE GRUYTER GMBH, 2020) Şimşek, Dağıstan; Oğul, Burak; Abdullayev, Fahreddin
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, [1-17]. 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.
Citation - WoS: 3
Citation - Scopus: 7
Solution of the Rational Difference Equation
(WALTER DE GRUYTER GMBH, 2020) Şimşek, Dağıstan; Oğul, Burak; Abdullayev, Fahreddin
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), where the initial conditions are positive real numbers.