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.

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.

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.

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.

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 ...

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.

In this article, we investigate the dynamics of the solutions of the following non-linear difference equation xn+1 = xn-2xn-3 - 1; n ? ?0 with arbitrary initial conditions x-2; x-1; x0. Besides, we have studied peri- odic ...

In this paper, we introduce the bicomplex generalized Tetranacci quaternions. Furthermore, we present some properties of these quaternions and derive relationships between them.

In this paper, we investigate the equilibrium points, stability of two equilibrium points, convergences of negative equilibrium point, periodic solutions, and existence of bounded or unbounded solutions of a system of ...

In this paper we investigate the stability of solutions of difference equation x(n+1) = x(n-1)x(n-4) - 1. We also study periodic solutions of related difference equation especially asymptotic periodicity.