Yazar "Taşdemir, Erkan" için listeleme
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3. Dereceden Polinomların Grafiği Yardımıyla Reel Kök Sayısı ve Köklerin Aralığının Tespiti Üzerine Bir Çalışma
Taşdemir, Erkan (2012-09-20)Bu çalışmada 3. Dereceden polinomların reel kök sayısı birinci türevin geometrik yorumu yardımıyla incelendi. Ayrıca bu köklerin aralıklarına ilişkin bağıntılar elde edildi. -
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 ... -
Gaussian Generalized Tribonacci Numbers
Soykan, Yüksel; Taşdemir, Erkan; Okumuş, İnci; Göcen, Melih (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. -
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 Asymptoticaly Periodic Solutions of A Fifth Order Difference Equation
Taşdemir, Erkan (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
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 ... -
On the Periodicies of the Difference Equation xn+1 = xnxn-1+a
Taşdemir, Erkan; Soykan, Yüksel (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 STABILITY OF A THIRD ORDER DIFFERENCE EQUATION
Taşdemir, Erkan; Erdoğan Taşdemir, Tülin (Kırklareli Üniversitesi, 2020)Bu çalışmada x_(n+1)=x_(n-1) x_(n-2)+A fark denkleminin A pozitif bir reel sayı ve başlangıç koşulları pozitif iken denge noktaları incelendi. Ayrıca ilgili fark denkleminin lokal asimptotik kararlılığı çalışıldı. Özellikle ... -
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, ... -
Rasyonel Çekirdekli Belirli İntegral Operatörlerin Özdeğerlerinin Farklı Nümerik Yöntemler Kullanılarak Yaklaşık Hesabı
Göcen, Melih; Taşdemir, Erkan; Soykan, Yüksel (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. -
Ritz Yöntemi Kullanılarak İntegral Operatörlerin · Özdegerlerinin Yaklaşık Hesabı
Soykan, Yüksel; Taşdemir, Erkan; Göcen, Melih (2011-09-09)Bu çalışmada, belirli rasyonel çekirdekli integral operatörlerin özdeğerlerinin yaklaşık hesaplarını Ritz yaklaşım yöntemi kullanarak hesaplayacağız. -
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 ... -
Trace ve Kellogg Yöntemleri Kullanılarak İntegral Operatörlerinin Özdeğerlerinin Nümerik Hesabı
Taşdemir, Erkan; Soykan, Yüksel; Göcen, Melih (2014-06-13)Bu çalışmada, Trace ve Kellogg yaklaşım yöntemleri kullanılarak belirli rasyonel çekirdekli integral operatörlerinin özdeğerleri hesaplanmıştır.
