Gelişken, Ali

Scholarly Output Search Results

Now showing 1 - 6 of 6

Citation - WoS: 2
On a Solvable Difference Equation With Sequence Coefficients
(Pushpa Publishing House, 2022-03-01) Gelisken, Ali; Karatas, Ramazan
This paper shows the asymptotic behavior of solutions of the difference equation x(n+1) = a(n)x(n-2k)/b(n) + c(n) Pi(2k)(i=0) x(n-i) where a(n), b(n) and c(n) are sequences of positive real numbers and initial conditions are nonzero real numbers.
On a Symmetric System of Difference Equations of Higher Order
(Watam Press, 2023) Ari, M.; Gelişken, A.
In this study we give solutions for the following difference equation system (formula presented) where the parameters a, b, α, β and initial values x−i, y−i, i = 0, 1, 2, …, k are non-zero real numbers. We show the asymptotic behavior of the system of equations. © 2023 Watam Press.
Citation - WoS: 2
Citation - Scopus: 2
A Generalised Difference Equation and Its Dynamics and Solutions
(Mdpi, 2024-11-12) Karatas, Ramazan; Gelisken, Ali; Ari, Murat
Rational difference equations have a wide range of applications in various fields of science. To illustrate, the equation xn+1=a+bxnc+dxn,n=0,1,..., known as the Riccati difference equation, has been applied in the field of optics. In this study, the global asymptotic stability of the difference equation xn+1=Axn-2k+j+1B+Cxn-(k+j)xn-2k+j+1,n=0,1,..., is proved. The solutions of this difference equation are obtained by applying the standard iteration method, and the periodicity of these solutions is determined. Furthermore, this difference equation represents a generalisation of the results obtained in previous studies.
Citation - Scopus: 1
Solution of a Solvable System of Difference Equations
(Nihat Akgunes, 2022-09-23) Gelişken, A.; Arı, M.
In this study we give solutions for the following difference equation sytem [Formula Presented] where the parameters a, b, α, β and initial values x−i, y−i, i = 0, 1, 2, 3 are non-zero real numbers. We show the asymptotic behavior of the system of equation. © 2022, Nihat AKGUNES. All rights reserved.
Boundedness Character of the System of Recursive Difference Equations
(2024) Yokuş, Nihal; Çoşkun, Nimet; Geli̇şken, Ali̇
In this paper, we take into consideration the boundedness character of positive solutions of the difference system $x_{n}=\alpha +\prod \limits_{i=1}^{k}y_{n-i}^{a_{i}} $ $y_{n}=\beta +\prod \limits_{i=1}^{k}x_{n-i}^{b_{i}},$ where $a_{i},b_{i}\in \mathbb{R}$, $i=\overline{1,k},$ $a_{k}\neq 0,$ $b_{k}\neq 0$ and $\alpha $ and $\beta $ are nonnegative real numbers.
Citation - Scopus: 2
A Solution Form of A Higher Order Difference Equation
(Prof. Dr. Mehmet Zeki SARIKAYA, 2021) Karataş, R.; Gelişken, Ali
The main aim of this paper is to investigate the solutions of the difference equation xn+1 =(−1)n axn−2k a + (−1)n ∏2k, n = 0, 1, … xn−i i=0 where k is a positive integer and initial conditions are non zero real numbers with ∏2k xn−i ≠ ∓a. i=0. © 2021, Prof. Dr. Mehmet Zeki SARIKAYA. All rights reserved.

Affiliation Name	Count
Selçuk University	8
Karamanoğlu Mehmetbey University	8
Konya Technical University	3
Akdeniz University	2
Necmettin Erbakan University	2

Journal	Count
Advances And Applications In Discrete Mathematics	1
Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms	1
Ikonion Journal of Mathematics	1
Konuralp Journal of Mathematics	1
Mathematics	1

Gelişken, Ali

Gelişken, Ali

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4

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