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BEHAVIOR OF POSITIVE SOLUTIONS OF A DIFFERENCE EQUATION
D.T. Tollu,Y. Yazlik,N. Ta¸skara 한국전산응용수학회 2017 Journal of applied mathematics & informatics Vol.35 No.3
In this paper we deal with the difference equation yn+1 =ayn−1bynyn−1 + cyn−1yn−2 + d, n ∈ N0, where the coefficients a, b, c, d are positive real numbers and the initial conditions y−2, y−1, y0 are nonnegative real numbers. Here, we investigate global asymptotic stability, periodicity, boundedness and oscillation of positive solutions of the above equation.
BEHAVIOR OF POSITIVE SOLUTIONS OF A DIFFERENCE EQUATION
TOLLU, D.T.,YAZLIK, Y.,TASKARA, N. The Korean Society for Computational and Applied M 2017 Journal of applied mathematics & informatics Vol.35 No.3
In this paper we deal with the difference equation $$y_{n+1}=\frac{ay_{n-1}}{by_ny_{n-1}+cy_{n-1}y_{n-2}+d}$$, $$n{\in}\mathbb{N}_0$$, where the coefficients a, b, c, d are positive real numbers and the initial conditions $y_{-2}$, $y_{-1}$, $y_0$ are nonnegative real numbers. Here, we investigate global asymptotic stability, periodicity, boundedness and oscillation of positive solutions of the above equation.
On global behavior of a system of nonlinear dierence equations of order two
D. T. Tollu,Y. Yazlik,N. Taskara 장전수학회 2017 Advanced Studies in Contemporary Mathematics Vol.27 No.3
In this paper we deal with the system of difference equations xn+1 = a/1 + xnyn-1, yn+1 = b/1 + ynxn-1, n ∈ N0, 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.