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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 Press
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.