Yazar "Taşdemir, Erkan" için Araştırma Çıktıları | WoS | Scopus | TR-Dizin | PubMed listeleme
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Dynamical analysis of a non-linear difference equation
Taşdemir, Erkan; Soykan, Y. (Eudoxus Press, LLC, 2019)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 ... -
Dynamics of a Second-order System of Nonlinear Difference Equations
Taşdemir, Erkan (Semnan Univ, 2020)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 ... -
GENERALIZED TETRANACCI HYBRID NUMBERS
Soykan, Yüksel; Taşdemir, Erkan (Sciendo, 2021)In this paper, we introduce the generalized Tetranacci hybrid numbers and, as special cases, Tetranacci and Tetranacci-Lucas hybrid numbers. Moreover, we present Binet's formulas, generating functions, and the summation ... -
Global dynamics of a higher order difference equation with a quadratic term
Taşdemir, Erkan (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 ... -
On bicomplex generalized Tetranacci quaternions
Soykan, Yüksel; Taşdemir, Erkan (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 ASYMPTOTICALLY PERIODIC SOLUTIONS OF A FIFTH ORDER DIFFERENCE EQUATION
Taşdemir, Erkan (Univ Prishtines, 2019)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. -
On The Dynamics of a Nonlinear Difference Equation
Taşdemir, Erkan (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. -
On the global asymptotic stability of a system of difference equations with quadratic terms
Taşdemir, Erkan (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
Taşdemir, Erkan; Soykan, Yüksel (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, ... -
Stability and Periodic Nature of a System of Difference Equations
Taşdemir, Erkan (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 ...