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Öğe Global behavior of solutions for a difference equation of third order(Watam Press, 2017) Tollu D.T.; Yazlik Y.; Taskara N.In this paper we consider the third-order rational difference equation. (Formula Presented). where parameter a is a nonzero real number and the initial values. Formula Presented). We here determine both the forms and the global behavior of the solutions of the above equation. Also, we show that the solutions are associated with Padovan numbers which contribute to explain the global behavior of the solutions. Copyright © 2017 Watam PressÖğe The improved arithmetic-geometric mean inequalities for matrix norms(2013) Gumus I.H.; Taskara N.In this paper, we prove a scalar inequality such that this inequality is an improvement of the classical arithmetic-geometric mean inequality.We obtain its matrix version and investigate Hilbert-Schmidt and trace norm of this matrix version. © 2013 I. Halil Gumus and Necati Taskara.Öğe On global behavior of a system of nonlinear difference equations of order two(Jangjeon Mathematical Society, 2017) Tollu D.T.; Yazlik Y.; Taskara N.In this paper we deal with the system of difference equations where the parameters a, b are positive real numbers and the initial conditions x-1, x0, y-1. y0 are nonnegative real numbers. We study global behavior of the above system. Also, we give rate of convergence of the solution which tends to unique positive equilibrium point of the system and illustrate our theoretical results by means of some numerical examples.Öğe Some properties of Padovan quaternion(World Scientific Publishing Co. Pte Ltd, 2019) Gunay H.; Taskara N.In this study, we consider the Padovan Quaternions. Then we investigate the some new properties such as the summation formulas and binomial sum for these quaternions. © 2019 World Scientific Publishing Company.Öğe Tribonacci and tribonacci-lucas numbers via the determinants of special matrices(Hikari Ltd., 2014) Yilmaz N.; Taskara N.In this paper, by using determinants of special matrices, it has been mainly obtained Tribonacci and Tribonacci-Lucas numbers. © 2014 Nazmiye Yilmaz and Necati Taskara.