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On the Periodicies of the Difference Equation xn+1 = xnxn-1+a
(2016)
In this paper, we investigate the periodicities and long-term behaviour of the nonlinear difference equation: xn+1=xnxn-1+a, n?N0 , where the initial conditions x-1 and x0 are real numbers.
On the Asymptoticaly Periodic Solutions of A Fifth Order Difference Equation
(2019-06-30)
In this paper we investigate the stability of solutions of difference equation xn+1 = xn?1xn?4 ? 1. We also study periodic solutions of related difference equation especially asymptotic periodicity.
On The Dynamics of a Nonlinear Difference Equation
(2019-06-28)
In this study we investigate the stability of solutions of difference equation xn+1 =xn-3xn-4-1. Moreover, we study periodic and eventually periodic solutions of related difference equation.
Gaussian Generalized Tribonacci Numbers
(2018-12-14)
In this paper, we define Gaussian generalized Tribonacci numbers and as special cases, we investigate Gaussian Tribonacci and Gaussian Tribonacci-Lucas numbers with their properties.
Stability and Periodic Nature of a System of Difference Equations
(2020-06)
In this paper, we investigate the equilibrium points of following a system of difference equations x_{n+1}=x_{n-2}y_{n}-1,y_{n+1}=y_{n-2}x_{n}-1. We also study the asymptotic stability of related system of difference ...
Rasyonel Çekirdekli Belirli İntegral Operatörlerin Özdeğerlerinin Farklı Nümerik Yöntemler Kullanılarak Yaklaşık Hesabı
(2016)
Bu çalışmada Ritz, Kellogg ve Trace yaklaşım metotları kullanılarak rasyonel çekirdekli belirli integral operatörlerin özdeğerleri yaklaşık olarak hesaplandı. Bu metotlar ile hesaplanan özdeğerler birbirleri ile karşılaştırıldı.
On bicomplex generalized Tetranacci quaternions
(Bulgarian Acad Science, 2020)
In this paper, we introduce the bicomplex generalized Tetranacci quaternions. Furthermore, we present some properties of these quaternions and derive relationships between them.
On the global asymptotic stability of a system of difference equations with quadratic terms
(Springer Heidelberg, 2021)
In this paper, we study the global asymptotic stability of following system of difference equations with quadratic terms: x(n+1) = A + B y(n)/y(n-1)(2), y(n+1) = A + B x(n)/x(n-1)(2) where A and B are positive numbers and ...
QUALITATIVE BEHAVIOURS OF A SYSTEM OF NONLINEAR DIFFERENCE EQUATIONS
(Editura Bibliotheca-Bibliotheca Publ House, 2021)
The paper aims to study the dynamics of a system of nonlinear difference equations x(n+1) = x(n-1)y(n) + A, y(n+1) = y(n-1)x(n) + A where is real number. We especially investigate the stability of equilibrium points, ...
Global dynamics of a higher order difference equation with a quadratic term
(Springer Heidelberg, 2021)
In this paper, we investigate the dynamics of the following higher order difference equation x(n+1) = A + B x(n)/x(n-m)(2) with A, B and initial conditions are positive numbers, and m is an element of {2, 3, ...}. Especially ...